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Finding the Fourth Proportional to 985.62, 1,478.30 and 255.25

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Solution

The fourth proportional to 985.62, 1,478.30 and 255.25 is: 382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.62 : 1,478.30 = 255.25 : x
  2. Step 2: Convert to fraction form
    985.62/1,478.30 = 255.25/x
  3. Step 3: Cross multiply
    985.62x = 1,478.30 × 255.25
  4. Step 4: Simplify right side
    985.62x = 377,338.08
  5. Step 5: Solve for x
    x = 377,338.08/985.62
  6. Step 6: Final answer
    x = 382.84

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Double scale
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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.