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Finding the Fourth Proportional to 478.32, 659.46 and 463.20

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Solution

The fourth proportional to 478.32, 659.46 and 463.20 is: 638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.32 : 659.46 = 463.20 : x
  2. Step 2: Convert to fraction form
    478.32/659.46 = 463.20/x
  3. Step 3: Cross multiply
    478.32x = 659.46 × 463.20
  4. Step 4: Simplify right side
    478.32x = 305,461.87
  5. Step 5: Solve for x
    x = 305,461.87/478.32
  6. Step 6: Final answer
    x = 638.61

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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.