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Finding the Fourth Proportional to 902.72, 1,354.22 and 286.31

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Solution

The fourth proportional to 902.72, 1,354.22 and 286.31 is: 429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.72 : 1,354.22 = 286.31 : x
  2. Step 2: Convert to fraction form
    902.72/1,354.22 = 286.31/x
  3. Step 3: Cross multiply
    902.72x = 1,354.22 × 286.31
  4. Step 4: Simplify right side
    902.72x = 387,718.53
  5. Step 5: Solve for x
    x = 387,718.53/902.72
  6. Step 6: Final answer
    x = 429.50

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Half scale
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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.