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Finding the Fourth Proportional to 415.40, 572.28 and 284.24

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Solution

The fourth proportional to 415.40, 572.28 and 284.24 is: 391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.40 : 572.28 = 284.24 : x
  2. Step 2: Convert to fraction form
    415.40/572.28 = 284.24/x
  3. Step 3: Cross multiply
    415.40x = 572.28 × 284.24
  4. Step 4: Simplify right side
    415.40x = 162,664.87
  5. Step 5: Solve for x
    x = 162,664.87/415.40
  6. Step 6: Final answer
    x = 391.59

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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.