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Finding the Fourth Proportional to 478.31, 658.53 and 415.94

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Solution

The fourth proportional to 478.31, 658.53 and 415.94 is: 572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.31 : 658.53 = 415.94 : x
  2. Step 2: Convert to fraction form
    478.31/658.53 = 415.94/x
  3. Step 3: Cross multiply
    478.31x = 658.53 × 415.94
  4. Step 4: Simplify right side
    478.31x = 273,905.68
  5. Step 5: Solve for x
    x = 273,905.68/478.31
  6. Step 6: Final answer
    x = 572.66

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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.