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Finding the Fourth Proportional to 417.44, 576.08 and 242.79

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Solution

The fourth proportional to 417.44, 576.08 and 242.79 is: 335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.44 : 576.08 = 242.79 : x
  2. Step 2: Convert to fraction form
    417.44/576.08 = 242.79/x
  3. Step 3: Cross multiply
    417.44x = 576.08 × 242.79
  4. Step 4: Simplify right side
    417.44x = 139,866.46
  5. Step 5: Solve for x
    x = 139,866.46/417.44
  6. Step 6: Final answer
    x = 335.06

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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.