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Finding the Fourth Proportional to 565.57, 775.73 and 534.18

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Solution

The fourth proportional to 565.57, 775.73 and 534.18 is: 732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.57 : 775.73 = 534.18 : x
  2. Step 2: Convert to fraction form
    565.57/775.73 = 534.18/x
  3. Step 3: Cross multiply
    565.57x = 775.73 × 534.18
  4. Step 4: Simplify right side
    565.57x = 414,379.45
  5. Step 5: Solve for x
    x = 414,379.45/565.57
  6. Step 6: Final answer
    x = 732.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.