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Finding the Fourth Proportional to 406.57, 560.96 and 259.15

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Solution

The fourth proportional to 406.57, 560.96 and 259.15 is: 357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.57 : 560.96 = 259.15 : x
  2. Step 2: Convert to fraction form
    406.57/560.96 = 259.15/x
  3. Step 3: Cross multiply
    406.57x = 560.96 × 259.15
  4. Step 4: Simplify right side
    406.57x = 145,372.78
  5. Step 5: Solve for x
    x = 145,372.78/406.57
  6. Step 6: Final answer
    x = 357.56

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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.