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Finding the Fourth Proportional to 685.35, 945.64 and 390.61

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Solution

The fourth proportional to 685.35, 945.64 and 390.61 is: 538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.35 : 945.64 = 390.61 : x
  2. Step 2: Convert to fraction form
    685.35/945.64 = 390.61/x
  3. Step 3: Cross multiply
    685.35x = 945.64 × 390.61
  4. Step 4: Simplify right side
    685.35x = 369,373.10
  5. Step 5: Solve for x
    x = 369,373.10/685.35
  6. Step 6: Final answer
    x = 538.96

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.