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Finding the Fourth Proportional to 487.67, 672.51 and 319.68

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Solution

The fourth proportional to 487.67, 672.51 and 319.68 is: 440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.67 : 672.51 = 319.68 : x
  2. Step 2: Convert to fraction form
    487.67/672.51 = 319.68/x
  3. Step 3: Cross multiply
    487.67x = 672.51 × 319.68
  4. Step 4: Simplify right side
    487.67x = 214,983.04
  5. Step 5: Solve for x
    x = 214,983.04/487.67
  6. Step 6: Final answer
    x = 440.84

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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.