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Finding the Fourth Proportional to 406.60, 564.88 and 402.81

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Solution

The fourth proportional to 406.60, 564.88 and 402.81 is: 559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.60 : 564.88 = 402.81 : x
  2. Step 2: Convert to fraction form
    406.60/564.88 = 402.81/x
  3. Step 3: Cross multiply
    406.60x = 564.88 × 402.81
  4. Step 4: Simplify right side
    406.60x = 227,538.08
  5. Step 5: Solve for x
    x = 227,538.08/406.60
  6. Step 6: Final answer
    x = 559.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.