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Finding the Fourth Proportional to 429.10, 592.17 and 242.56

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Solution

The fourth proportional to 429.10, 592.17 and 242.56 is: 334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.10 : 592.17 = 242.56 : x
  2. Step 2: Convert to fraction form
    429.10/592.17 = 242.56/x
  3. Step 3: Cross multiply
    429.10x = 592.17 × 242.56
  4. Step 4: Simplify right side
    429.10x = 143,636.76
  5. Step 5: Solve for x
    x = 143,636.76/429.10
  6. Step 6: Final answer
    x = 334.74

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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.