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Finding the Fourth Proportional to 417.84, 576.57 and 240.79

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Solution

The fourth proportional to 417.84, 576.57 and 240.79 is: 332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.84 : 576.57 = 240.79 : x
  2. Step 2: Convert to fraction form
    417.84/576.57 = 240.79/x
  3. Step 3: Cross multiply
    417.84x = 576.57 × 240.79
  4. Step 4: Simplify right side
    417.84x = 138,832.29
  5. Step 5: Solve for x
    x = 138,832.29/417.84
  6. Step 6: Final answer
    x = 332.26

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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.