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Finding the Fourth Proportional to 563.52, 845.48 and 499.08

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Solution

The fourth proportional to 563.52, 845.48 and 499.08 is: 748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.52 : 845.48 = 499.08 : x
  2. Step 2: Convert to fraction form
    563.52/845.48 = 499.08/x
  3. Step 3: Cross multiply
    563.52x = 845.48 × 499.08
  4. Step 4: Simplify right side
    563.52x = 421,962.16
  5. Step 5: Solve for x
    x = 421,962.16/563.52
  6. Step 6: Final answer
    x = 748.80

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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.