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Finding the Fourth Proportional to 536.16, 742.92 and 524.64

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Solution

The fourth proportional to 536.16, 742.92 and 524.64 is: 726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.16 : 742.92 = 524.64 : x
  2. Step 2: Convert to fraction form
    536.16/742.92 = 524.64/x
  3. Step 3: Cross multiply
    536.16x = 742.92 × 524.64
  4. Step 4: Simplify right side
    536.16x = 389,765.55
  5. Step 5: Solve for x
    x = 389,765.55/536.16
  6. Step 6: Final answer
    x = 726.96

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.