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Finding the Fourth Proportional to 429.17, 592.54 and 263.55

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Solution

The fourth proportional to 429.17, 592.54 and 263.55 is: 363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.17 : 592.54 = 263.55 : x
  2. Step 2: Convert to fraction form
    429.17/592.54 = 263.55/x
  3. Step 3: Cross multiply
    429.17x = 592.54 × 263.55
  4. Step 4: Simplify right side
    429.17x = 156,163.92
  5. Step 5: Solve for x
    x = 156,163.92/429.17
  6. Step 6: Final answer
    x = 363.87

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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.