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Finding the Fourth Proportional to 473.93, 710.17 and 199.87

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Solution

The fourth proportional to 473.93, 710.17 and 199.87 is: 299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.93 : 710.17 = 199.87 : x
  2. Step 2: Convert to fraction form
    473.93/710.17 = 199.87/x
  3. Step 3: Cross multiply
    473.93x = 710.17 × 199.87
  4. Step 4: Simplify right side
    473.93x = 141,941.68
  5. Step 5: Solve for x
    x = 141,941.68/473.93
  6. Step 6: Final answer
    x = 299.50

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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.