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Finding the Fourth Proportional to 429.68, 592.92 and 263.94

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Solution

The fourth proportional to 429.68, 592.92 and 263.94 is: 364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.68 : 592.92 = 263.94 : x
  2. Step 2: Convert to fraction form
    429.68/592.92 = 263.94/x
  3. Step 3: Cross multiply
    429.68x = 592.92 × 263.94
  4. Step 4: Simplify right side
    429.68x = 156,495.30
  5. Step 5: Solve for x
    x = 156,495.30/429.68
  6. Step 6: Final answer
    x = 364.22

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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.