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Finding the Fourth Proportional to 913.47, 1,370.51 and 297.20

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Solution

The fourth proportional to 913.47, 1,370.51 and 297.20 is: 445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.47 : 1,370.51 = 297.20 : x
  2. Step 2: Convert to fraction form
    913.47/1,370.51 = 297.20/x
  3. Step 3: Cross multiply
    913.47x = 1,370.51 × 297.20
  4. Step 4: Simplify right side
    913.47x = 407,315.57
  5. Step 5: Solve for x
    x = 407,315.57/913.47
  6. Step 6: Final answer
    x = 445.90

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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.