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Finding the Fourth Proportional to 459.20, 687.66 and 355.62

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Solution

The fourth proportional to 459.20, 687.66 and 355.62 is: 532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.20 : 687.66 = 355.62 : x
  2. Step 2: Convert to fraction form
    459.20/687.66 = 355.62/x
  3. Step 3: Cross multiply
    459.20x = 687.66 × 355.62
  4. Step 4: Simplify right side
    459.20x = 244,545.65
  5. Step 5: Solve for x
    x = 244,545.65/459.20
  6. Step 6: Final answer
    x = 532.55

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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.