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Finding the Fourth Proportional to 429.14, 592.23 and 263.45

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Solution

The fourth proportional to 429.14, 592.23 and 263.45 is: 363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.14 : 592.23 = 263.45 : x
  2. Step 2: Convert to fraction form
    429.14/592.23 = 263.45/x
  3. Step 3: Cross multiply
    429.14x = 592.23 × 263.45
  4. Step 4: Simplify right side
    429.14x = 156,025.46
  5. Step 5: Solve for x
    x = 156,025.46/429.14
  6. Step 6: Final answer
    x = 363.57

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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.