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Finding the Fourth Proportional to 415.79, 573.14 and 284.57

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Solution

The fourth proportional to 415.79, 573.14 and 284.57 is: 392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.79 : 573.14 = 284.57 : x
  2. Step 2: Convert to fraction form
    415.79/573.14 = 284.57/x
  3. Step 3: Cross multiply
    415.79x = 573.14 × 284.57
  4. Step 4: Simplify right side
    415.79x = 163,098.45
  5. Step 5: Solve for x
    x = 163,098.45/415.79
  6. Step 6: Final answer
    x = 392.26

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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.