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Finding the Fourth Proportional to 752.31, 1,038.23 and 416.22

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Solution

The fourth proportional to 752.31, 1,038.23 and 416.22 is: 574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.31 : 1,038.23 = 416.22 : x
  2. Step 2: Convert to fraction form
    752.31/1,038.23 = 416.22/x
  3. Step 3: Cross multiply
    752.31x = 1,038.23 × 416.22
  4. Step 4: Simplify right side
    752.31x = 432,132.09
  5. Step 5: Solve for x
    x = 432,132.09/752.31
  6. Step 6: Final answer
    x = 574.41

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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.