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Finding the Fourth Proportional to 913.55, 1,370.42 and 297.23

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Solution

The fourth proportional to 913.55, 1,370.42 and 297.23 is: 445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.55 : 1,370.42 = 297.23 : x
  2. Step 2: Convert to fraction form
    913.55/1,370.42 = 297.23/x
  3. Step 3: Cross multiply
    913.55x = 1,370.42 × 297.23
  4. Step 4: Simplify right side
    913.55x = 407,329.94
  5. Step 5: Solve for x
    x = 407,329.94/913.55
  6. Step 6: Final answer
    x = 445.88

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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.