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Finding the Fourth Proportional to 914.27, 1,371.53 and 297.78

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Solution

The fourth proportional to 914.27, 1,371.53 and 297.78 is: 446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.27 : 1,371.53 = 297.78 : x
  2. Step 2: Convert to fraction form
    914.27/1,371.53 = 297.78/x
  3. Step 3: Cross multiply
    914.27x = 1,371.53 × 297.78
  4. Step 4: Simplify right side
    914.27x = 408,407.35
  5. Step 5: Solve for x
    x = 408,407.35/914.27
  6. Step 6: Final answer
    x = 446.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.