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Finding the Fourth Proportional to 314.24, 471.06 and 204.24

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Solution

The fourth proportional to 314.24, 471.06 and 204.24 is: 306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.24 : 471.06 = 204.24 : x
  2. Step 2: Convert to fraction form
    314.24/471.06 = 204.24/x
  3. Step 3: Cross multiply
    314.24x = 471.06 × 204.24
  4. Step 4: Simplify right side
    314.24x = 96,209.29
  5. Step 5: Solve for x
    x = 96,209.29/314.24
  6. Step 6: Final answer
    x = 306.17

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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.