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Finding the Fourth Proportional to 473.72, 710.37 and 199.71

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Solution

The fourth proportional to 473.72, 710.37 and 199.71 is: 299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.72 : 710.37 = 199.71 : x
  2. Step 2: Convert to fraction form
    473.72/710.37 = 199.71/x
  3. Step 3: Cross multiply
    473.72x = 710.37 × 199.71
  4. Step 4: Simplify right side
    473.72x = 141,867.99
  5. Step 5: Solve for x
    x = 141,867.99/473.72
  6. Step 6: Final answer
    x = 299.48

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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.