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Finding the Fourth Proportional to 486.96, 675.56 and 463.20

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Solution

The fourth proportional to 486.96, 675.56 and 463.20 is: 642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.96 : 675.56 = 463.20 : x
  2. Step 2: Convert to fraction form
    486.96/675.56 = 463.20/x
  3. Step 3: Cross multiply
    486.96x = 675.56 × 463.20
  4. Step 4: Simplify right side
    486.96x = 312,919.39
  5. Step 5: Solve for x
    x = 312,919.39/486.96
  6. Step 6: Final answer
    x = 642.60

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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.