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Finding the Fourth Proportional to 672.81, 929.09 and 424.57

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Solution

The fourth proportional to 672.81, 929.09 and 424.57 is: 586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.81 : 929.09 = 424.57 : x
  2. Step 2: Convert to fraction form
    672.81/929.09 = 424.57/x
  3. Step 3: Cross multiply
    672.81x = 929.09 × 424.57
  4. Step 4: Simplify right side
    672.81x = 394,461.62
  5. Step 5: Solve for x
    x = 394,461.62/672.81
  6. Step 6: Final answer
    x = 586.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.