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Finding the Fourth Proportional to 415.26, 572.40 and 284.04

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Solution

The fourth proportional to 415.26, 572.40 and 284.04 is: 391.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.26 : 572.40 = 284.04 : x
  2. Step 2: Convert to fraction form
    415.26/572.40 = 284.04/x
  3. Step 3: Cross multiply
    415.26x = 572.40 × 284.04
  4. Step 4: Simplify right side
    415.26x = 162,584.50
  5. Step 5: Solve for x
    x = 162,584.50/415.26
  6. Step 6: Final answer
    x = 391.52

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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.