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Finding the Fourth Proportional to 904.94, 1,357.46 and 255.66

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Solution

The fourth proportional to 904.94, 1,357.46 and 255.66 is: 383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.94 : 1,357.46 = 255.66 : x
  2. Step 2: Convert to fraction form
    904.94/1,357.46 = 255.66/x
  3. Step 3: Cross multiply
    904.94x = 1,357.46 × 255.66
  4. Step 4: Simplify right side
    904.94x = 347,042.81
  5. Step 5: Solve for x
    x = 347,042.81/904.94
  6. Step 6: Final answer
    x = 383.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.