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Finding the Fourth Proportional to 353.20, 487 and 242.76

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Solution

The fourth proportional to 353.20, 487 and 242.76 is: 334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.20 : 487 = 242.76 : x
  2. Step 2: Convert to fraction form
    353.20/487 = 242.76/x
  3. Step 3: Cross multiply
    353.20x = 487 × 242.76
  4. Step 4: Simplify right side
    353.20x = 118,224.12
  5. Step 5: Solve for x
    x = 118,224.12/353.20
  6. Step 6: Final answer
    x = 334.72

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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.