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Finding the Fourth Proportional to 415.23, 572.63 and 284.28

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Solution

The fourth proportional to 415.23, 572.63 and 284.28 is: 392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.23 : 572.63 = 284.28 : x
  2. Step 2: Convert to fraction form
    415.23/572.63 = 284.28/x
  3. Step 3: Cross multiply
    415.23x = 572.63 × 284.28
  4. Step 4: Simplify right side
    415.23x = 162,787.26
  5. Step 5: Solve for x
    x = 162,787.26/415.23
  6. Step 6: Final answer
    x = 392.04

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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.