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Finding the Fourth Proportional to 486.62, 672.10 and 424.24

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Solution

The fourth proportional to 486.62, 672.10 and 424.24 is: 585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.62 : 672.10 = 424.24 : x
  2. Step 2: Convert to fraction form
    486.62/672.10 = 424.24/x
  3. Step 3: Cross multiply
    486.62x = 672.10 × 424.24
  4. Step 4: Simplify right side
    486.62x = 285,131.70
  5. Step 5: Solve for x
    x = 285,131.70/486.62
  6. Step 6: Final answer
    x = 585.94

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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.