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Finding the Fourth Proportional to 474.95, 711.43 and 243.14

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Solution

The fourth proportional to 474.95, 711.43 and 243.14 is: 364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.95 : 711.43 = 243.14 : x
  2. Step 2: Convert to fraction form
    474.95/711.43 = 243.14/x
  3. Step 3: Cross multiply
    474.95x = 711.43 × 243.14
  4. Step 4: Simplify right side
    474.95x = 172,974.29
  5. Step 5: Solve for x
    x = 172,974.29/474.95
  6. Step 6: Final answer
    x = 364.20

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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.