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Finding the Fourth Proportional to 406.68, 560.96 and 259.26

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Solution

The fourth proportional to 406.68, 560.96 and 259.26 is: 357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.68 : 560.96 = 259.26 : x
  2. Step 2: Convert to fraction form
    406.68/560.96 = 259.26/x
  3. Step 3: Cross multiply
    406.68x = 560.96 × 259.26
  4. Step 4: Simplify right side
    406.68x = 145,434.49
  5. Step 5: Solve for x
    x = 145,434.49/406.68
  6. Step 6: Final answer
    x = 357.61

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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.