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Finding the Fourth Proportional to 417.43, 576.02 and 242.74

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Solution

The fourth proportional to 417.43, 576.02 and 242.74 is: 334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.43 : 576.02 = 242.74 : x
  2. Step 2: Convert to fraction form
    417.43/576.02 = 242.74/x
  3. Step 3: Cross multiply
    417.43x = 576.02 × 242.74
  4. Step 4: Simplify right side
    417.43x = 139,819.00
  5. Step 5: Solve for x
    x = 139,819.00/417.43
  6. Step 6: Final answer
    x = 334.96

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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.