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Finding the Fourth Proportional to 424.80, 637.17 and 116.67

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Solution

The fourth proportional to 424.80, 637.17 and 116.67 is: 175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.80 : 637.17 = 116.67 : x
  2. Step 2: Convert to fraction form
    424.80/637.17 = 116.67/x
  3. Step 3: Cross multiply
    424.80x = 637.17 × 116.67
  4. Step 4: Simplify right side
    424.80x = 74,338.62
  5. Step 5: Solve for x
    x = 74,338.62/424.80
  6. Step 6: Final answer
    x = 175.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.