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Finding the Fourth Proportional to 462.74, 694.71 and 424.53

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Solution

The fourth proportional to 462.74, 694.71 and 424.53 is: 637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.74 : 694.71 = 424.53 : x
  2. Step 2: Convert to fraction form
    462.74/694.71 = 424.53/x
  3. Step 3: Cross multiply
    462.74x = 694.71 × 424.53
  4. Step 4: Simplify right side
    462.74x = 294,923.11
  5. Step 5: Solve for x
    x = 294,923.11/462.74
  6. Step 6: Final answer
    x = 637.35

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