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Finding the Fourth Proportional to 473.50, 710.12 and 199.66

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Solution

The fourth proportional to 473.50, 710.12 and 199.66 is: 299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.50 : 710.12 = 199.66 : x
  2. Step 2: Convert to fraction form
    473.50/710.12 = 199.66/x
  3. Step 3: Cross multiply
    473.50x = 710.12 × 199.66
  4. Step 4: Simplify right side
    473.50x = 141,778.01
  5. Step 5: Solve for x
    x = 141,778.01/473.50
  6. Step 6: Final answer
    x = 299.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.