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Finding the Fourth Proportional to 507.85, 758.48 and 462.49

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Solution

The fourth proportional to 507.85, 758.48 and 462.49 is: 690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.85 : 758.48 = 462.49 : x
  2. Step 2: Convert to fraction form
    507.85/758.48 = 462.49/x
  3. Step 3: Cross multiply
    507.85x = 758.48 × 462.49
  4. Step 4: Simplify right side
    507.85x = 350,789.42
  5. Step 5: Solve for x
    x = 350,789.42/507.85
  6. Step 6: Final answer
    x = 690.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.