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Finding the Fourth Proportional to 429.28, 592.50 and 263.58

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Solution

The fourth proportional to 429.28, 592.50 and 263.58 is: 363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.28 : 592.50 = 263.58 : x
  2. Step 2: Convert to fraction form
    429.28/592.50 = 263.58/x
  3. Step 3: Cross multiply
    429.28x = 592.50 × 263.58
  4. Step 4: Simplify right side
    429.28x = 156,171.15
  5. Step 5: Solve for x
    x = 156,171.15/429.28
  6. Step 6: Final answer
    x = 363.80

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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.