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Finding the Fourth Proportional to 473.14, 709.48 and 199.16

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Solution

The fourth proportional to 473.14, 709.48 and 199.16 is: 298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.14 : 709.48 = 199.16 : x
  2. Step 2: Convert to fraction form
    473.14/709.48 = 199.16/x
  3. Step 3: Cross multiply
    473.14x = 709.48 × 199.16
  4. Step 4: Simplify right side
    473.14x = 141,300.04
  5. Step 5: Solve for x
    x = 141,300.04/473.14
  6. Step 6: Final answer
    x = 298.64

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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.