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Finding the Fourth Proportional to 473, 709.37 and 199.16

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Solution

The fourth proportional to 473, 709.37 and 199.16 is: 298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473 : 709.37 = 199.16 : x
  2. Step 2: Convert to fraction form
    473/709.37 = 199.16/x
  3. Step 3: Cross multiply
    473x = 709.37 × 199.16
  4. Step 4: Simplify right side
    473x = 141,273.59
  5. Step 5: Solve for x
    x = 141,273.59/473
  6. Step 6: Final answer
    x = 298.68

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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.