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Finding the Fourth Proportional to 415.34, 573.09 and 284.30

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Solution

The fourth proportional to 415.34, 573.09 and 284.30 is: 392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.34 : 573.09 = 284.30 : x
  2. Step 2: Convert to fraction form
    415.34/573.09 = 284.30/x
  3. Step 3: Cross multiply
    415.34x = 573.09 × 284.30
  4. Step 4: Simplify right side
    415.34x = 162,929.49
  5. Step 5: Solve for x
    x = 162,929.49/415.34
  6. Step 6: Final answer
    x = 392.28

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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.