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Finding the Fourth Proportional to 332.64, 461.16 and 320.76

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Solution

The fourth proportional to 332.64, 461.16 and 320.76 is: 444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.64 : 461.16 = 320.76 : x
  2. Step 2: Convert to fraction form
    332.64/461.16 = 320.76/x
  3. Step 3: Cross multiply
    332.64x = 461.16 × 320.76
  4. Step 4: Simplify right side
    332.64x = 147,921.68
  5. Step 5: Solve for x
    x = 147,921.68/332.64
  6. Step 6: Final answer
    x = 444.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.