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Finding the Fourth Proportional to 752.28, 1,038.17 and 420.70

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Solution

The fourth proportional to 752.28, 1,038.17 and 420.70 is: 580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.28 : 1,038.17 = 420.70 : x
  2. Step 2: Convert to fraction form
    752.28/1,038.17 = 420.70/x
  3. Step 3: Cross multiply
    752.28x = 1,038.17 × 420.70
  4. Step 4: Simplify right side
    752.28x = 436,759.17
  5. Step 5: Solve for x
    x = 436,759.17/752.28
  6. Step 6: Final answer
    x = 580.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.