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Finding the Fourth Proportional to 562.98, 775.32 and 550.85

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Solution

The fourth proportional to 562.98, 775.32 and 550.85 is: 758.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.98 : 775.32 = 550.85 : x
  2. Step 2: Convert to fraction form
    562.98/775.32 = 550.85/x
  3. Step 3: Cross multiply
    562.98x = 775.32 × 550.85
  4. Step 4: Simplify right side
    562.98x = 427,085.02
  5. Step 5: Solve for x
    x = 427,085.02/562.98
  6. Step 6: Final answer
    x = 758.61

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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.