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Finding the Fourth Proportional to 429.62, 593.15 and 280.40

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Solution

The fourth proportional to 429.62, 593.15 and 280.40 is: 387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.62 : 593.15 = 280.40 : x
  2. Step 2: Convert to fraction form
    429.62/593.15 = 280.40/x
  3. Step 3: Cross multiply
    429.62x = 593.15 × 280.40
  4. Step 4: Simplify right side
    429.62x = 166,314.89
  5. Step 5: Solve for x
    x = 166,314.89/429.62
  6. Step 6: Final answer
    x = 387.13

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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.