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Finding the Fourth Proportional to 473.24, 709.14 and 199.18

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Solution

The fourth proportional to 473.24, 709.14 and 199.18 is: 298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.24 : 709.14 = 199.18 : x
  2. Step 2: Convert to fraction form
    473.24/709.14 = 199.18/x
  3. Step 3: Cross multiply
    473.24x = 709.14 × 199.18
  4. Step 4: Simplify right side
    473.24x = 141,246.51
  5. Step 5: Solve for x
    x = 141,246.51/473.24
  6. Step 6: Final answer
    x = 298.47

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