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Finding the Fourth Proportional to 406.71, 560.99 and 259.53

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Solution

The fourth proportional to 406.71, 560.99 and 259.53 is: 357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.71 : 560.99 = 259.53 : x
  2. Step 2: Convert to fraction form
    406.71/560.99 = 259.53/x
  3. Step 3: Cross multiply
    406.71x = 560.99 × 259.53
  4. Step 4: Simplify right side
    406.71x = 145,593.73
  5. Step 5: Solve for x
    x = 145,593.73/406.71
  6. Step 6: Final answer
    x = 357.98

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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.