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Finding the Fourth Proportional to 478.50, 659.34 and 461.64

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Solution

The fourth proportional to 478.50, 659.34 and 461.64 is: 636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.50 : 659.34 = 461.64 : x
  2. Step 2: Convert to fraction form
    478.50/659.34 = 461.64/x
  3. Step 3: Cross multiply
    478.50x = 659.34 × 461.64
  4. Step 4: Simplify right side
    478.50x = 304,377.72
  5. Step 5: Solve for x
    x = 304,377.72/478.50
  6. Step 6: Final answer
    x = 636.11

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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.