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Finding the Fourth Proportional to 406.56, 560.84 and 259.12

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Solution

The fourth proportional to 406.56, 560.84 and 259.12 is: 357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.56 : 560.84 = 259.12 : x
  2. Step 2: Convert to fraction form
    406.56/560.84 = 259.12/x
  3. Step 3: Cross multiply
    406.56x = 560.84 × 259.12
  4. Step 4: Simplify right side
    406.56x = 145,324.86
  5. Step 5: Solve for x
    x = 145,324.86/406.56
  6. Step 6: Final answer
    x = 357.45

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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.