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Finding the Fourth Proportional to 507.68, 762.67 and 438.48

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Solution

The fourth proportional to 507.68, 762.67 and 438.48 is: 658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.68 : 762.67 = 438.48 : x
  2. Step 2: Convert to fraction form
    507.68/762.67 = 438.48/x
  3. Step 3: Cross multiply
    507.68x = 762.67 × 438.48
  4. Step 4: Simplify right side
    507.68x = 334,415.54
  5. Step 5: Solve for x
    x = 334,415.54/507.68
  6. Step 6: Final answer
    x = 658.71

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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.