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Finding the Fourth Proportional to 406.56, 560.08 and 381.60

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Solution

The fourth proportional to 406.56, 560.08 and 381.60 is: 525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.56 : 560.08 = 381.60 : x
  2. Step 2: Convert to fraction form
    406.56/560.08 = 381.60/x
  3. Step 3: Cross multiply
    406.56x = 560.08 × 381.60
  4. Step 4: Simplify right side
    406.56x = 213,726.53
  5. Step 5: Solve for x
    x = 213,726.53/406.56
  6. Step 6: Final answer
    x = 525.69

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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.