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Finding the Fourth Proportional to 488.82, 674.81 and 332.28

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Solution

The fourth proportional to 488.82, 674.81 and 332.28 is: 458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.82 : 674.81 = 332.28 : x
  2. Step 2: Convert to fraction form
    488.82/674.81 = 332.28/x
  3. Step 3: Cross multiply
    488.82x = 674.81 × 332.28
  4. Step 4: Simplify right side
    488.82x = 224,225.87
  5. Step 5: Solve for x
    x = 224,225.87/488.82
  6. Step 6: Final answer
    x = 458.71

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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.