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Finding the Fourth Proportional to 473.18, 709.14 and 198.94

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Solution

The fourth proportional to 473.18, 709.14 and 198.94 is: 298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.18 : 709.14 = 198.94 : x
  2. Step 2: Convert to fraction form
    473.18/709.14 = 198.94/x
  3. Step 3: Cross multiply
    473.18x = 709.14 × 198.94
  4. Step 4: Simplify right side
    473.18x = 141,076.31
  5. Step 5: Solve for x
    x = 141,076.31/473.18
  6. Step 6: Final answer
    x = 298.15

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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.