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Finding the Fourth Proportional to 534.66, 732.48 and 515.22

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Solution

The fourth proportional to 534.66, 732.48 and 515.22 is: 705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.66 : 732.48 = 515.22 : x
  2. Step 2: Convert to fraction form
    534.66/732.48 = 515.22/x
  3. Step 3: Cross multiply
    534.66x = 732.48 × 515.22
  4. Step 4: Simplify right side
    534.66x = 377,388.35
  5. Step 5: Solve for x
    x = 377,388.35/534.66
  6. Step 6: Final answer
    x = 705.85

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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.