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Finding the Fourth Proportional to 474.55, 708.22 and 462.24

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Solution

The fourth proportional to 474.55, 708.22 and 462.24 is: 689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.55 : 708.22 = 462.24 : x
  2. Step 2: Convert to fraction form
    474.55/708.22 = 462.24/x
  3. Step 3: Cross multiply
    474.55x = 708.22 × 462.24
  4. Step 4: Simplify right side
    474.55x = 327,370.85
  5. Step 5: Solve for x
    x = 327,370.85/474.55
  6. Step 6: Final answer
    x = 689.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.