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Finding the Fourth Proportional to 914.14, 1,371.12 and 297.82

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Solution

The fourth proportional to 914.14, 1,371.12 and 297.82 is: 446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.14 : 1,371.12 = 297.82 : x
  2. Step 2: Convert to fraction form
    914.14/1,371.12 = 297.82/x
  3. Step 3: Cross multiply
    914.14x = 1,371.12 × 297.82
  4. Step 4: Simplify right side
    914.14x = 408,346.96
  5. Step 5: Solve for x
    x = 408,346.96/914.14
  6. Step 6: Final answer
    x = 446.70

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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.