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Finding the Fourth Proportional to 417.71, 576.50 and 240.67

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Solution

The fourth proportional to 417.71, 576.50 and 240.67 is: 332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.71 : 576.50 = 240.67 : x
  2. Step 2: Convert to fraction form
    417.71/576.50 = 240.67/x
  3. Step 3: Cross multiply
    417.71x = 576.50 × 240.67
  4. Step 4: Simplify right side
    417.71x = 138,742.17
  5. Step 5: Solve for x
    x = 138,742.17/417.71
  6. Step 6: Final answer
    x = 332.15

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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.