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Finding the Fourth Proportional to 626.67, 937.96 and 462.07

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Solution

The fourth proportional to 626.67, 937.96 and 462.07 is: 691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.67 : 937.96 = 462.07 : x
  2. Step 2: Convert to fraction form
    626.67/937.96 = 462.07/x
  3. Step 3: Cross multiply
    626.67x = 937.96 × 462.07
  4. Step 4: Simplify right side
    626.67x = 433,403.18
  5. Step 5: Solve for x
    x = 433,403.18/626.67
  6. Step 6: Final answer
    x = 691.60

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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.