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Finding the Fourth Proportional to 429.68, 592.70 and 263.96

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Solution

The fourth proportional to 429.68, 592.70 and 263.96 is: 364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.68 : 592.70 = 263.96 : x
  2. Step 2: Convert to fraction form
    429.68/592.70 = 263.96/x
  3. Step 3: Cross multiply
    429.68x = 592.70 × 263.96
  4. Step 4: Simplify right side
    429.68x = 156,449.09
  5. Step 5: Solve for x
    x = 156,449.09/429.68
  6. Step 6: Final answer
    x = 364.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.