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Finding the Fourth Proportional to 528.29, 791.52 and 509.15

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Solution

The fourth proportional to 528.29, 791.52 and 509.15 is: 762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.29 : 791.52 = 509.15 : x
  2. Step 2: Convert to fraction form
    528.29/791.52 = 509.15/x
  3. Step 3: Cross multiply
    528.29x = 791.52 × 509.15
  4. Step 4: Simplify right side
    528.29x = 403,002.48
  5. Step 5: Solve for x
    x = 403,002.48/528.29
  6. Step 6: Final answer
    x = 762.85

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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.