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Finding the Fourth Proportional to 472.86, 709.14 and 199.02

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Solution

The fourth proportional to 472.86, 709.14 and 199.02 is: 298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.86 : 709.14 = 199.02 : x
  2. Step 2: Convert to fraction form
    472.86/709.14 = 199.02/x
  3. Step 3: Cross multiply
    472.86x = 709.14 × 199.02
  4. Step 4: Simplify right side
    472.86x = 141,133.04
  5. Step 5: Solve for x
    x = 141,133.04/472.86
  6. Step 6: Final answer
    x = 298.47

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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.