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Finding the Fourth Proportional to 528.60, 730.16 and 431.56

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Solution

The fourth proportional to 528.60, 730.16 and 431.56 is: 596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.60 : 730.16 = 431.56 : x
  2. Step 2: Convert to fraction form
    528.60/730.16 = 431.56/x
  3. Step 3: Cross multiply
    528.60x = 730.16 × 431.56
  4. Step 4: Simplify right side
    528.60x = 315,107.85
  5. Step 5: Solve for x
    x = 315,107.85/528.60
  6. Step 6: Final answer
    x = 596.12

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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.