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Finding the Fourth Proportional to 913.91, 1,370.87 and 297.62

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Solution

The fourth proportional to 913.91, 1,370.87 and 297.62 is: 446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.91 : 1,370.87 = 297.62 : x
  2. Step 2: Convert to fraction form
    913.91/1,370.87 = 297.62/x
  3. Step 3: Cross multiply
    913.91x = 1,370.87 × 297.62
  4. Step 4: Simplify right side
    913.91x = 407,989.99
  5. Step 5: Solve for x
    x = 407,989.99/913.91
  6. Step 6: Final answer
    x = 446.42

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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.