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Finding the Fourth Proportional to 499.52, 689.43 and 416.54

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Solution

The fourth proportional to 499.52, 689.43 and 416.54 is: 574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.52 : 689.43 = 416.54 : x
  2. Step 2: Convert to fraction form
    499.52/689.43 = 416.54/x
  3. Step 3: Cross multiply
    499.52x = 689.43 × 416.54
  4. Step 4: Simplify right side
    499.52x = 287,175.17
  5. Step 5: Solve for x
    x = 287,175.17/499.52
  6. Step 6: Final answer
    x = 574.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.