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Finding the Fourth Proportional to 429.63, 592.27 and 263.74

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Solution

The fourth proportional to 429.63, 592.27 and 263.74 is: 363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.63 : 592.27 = 263.74 : x
  2. Step 2: Convert to fraction form
    429.63/592.27 = 263.74/x
  3. Step 3: Cross multiply
    429.63x = 592.27 × 263.74
  4. Step 4: Simplify right side
    429.63x = 156,203.15
  5. Step 5: Solve for x
    x = 156,203.15/429.63
  6. Step 6: Final answer
    x = 363.58

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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.