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Finding the Fourth Proportional to 474.91, 712.67 and 424.17

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Solution

The fourth proportional to 474.91, 712.67 and 424.17 is: 636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.91 : 712.67 = 424.17 : x
  2. Step 2: Convert to fraction form
    474.91/712.67 = 424.17/x
  3. Step 3: Cross multiply
    474.91x = 712.67 × 424.17
  4. Step 4: Simplify right side
    474.91x = 302,293.19
  5. Step 5: Solve for x
    x = 302,293.19/474.91
  6. Step 6: Final answer
    x = 636.52

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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.