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Finding the Fourth Proportional to 474.29, 710.49 and 376.96

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Solution

The fourth proportional to 474.29, 710.49 and 376.96 is: 564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.29 : 710.49 = 376.96 : x
  2. Step 2: Convert to fraction form
    474.29/710.49 = 376.96/x
  3. Step 3: Cross multiply
    474.29x = 710.49 × 376.96
  4. Step 4: Simplify right side
    474.29x = 267,822.76
  5. Step 5: Solve for x
    x = 267,822.76/474.29
  6. Step 6: Final answer
    x = 564.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.