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Finding the Fourth Proportional to 406.10, 560.40 and 258.86

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Solution

The fourth proportional to 406.10, 560.40 and 258.86 is: 357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.10 : 560.40 = 258.86 : x
  2. Step 2: Convert to fraction form
    406.10/560.40 = 258.86/x
  3. Step 3: Cross multiply
    406.10x = 560.40 × 258.86
  4. Step 4: Simplify right side
    406.10x = 145,065.14
  5. Step 5: Solve for x
    x = 145,065.14/406.10
  6. Step 6: Final answer
    x = 357.22

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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.