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Finding the Fourth Proportional to 752.32, 1,038.21 and 416.26

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Solution

The fourth proportional to 752.32, 1,038.21 and 416.26 is: 574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.32 : 1,038.21 = 416.26 : x
  2. Step 2: Convert to fraction form
    752.32/1,038.21 = 416.26/x
  3. Step 3: Cross multiply
    752.32x = 1,038.21 × 416.26
  4. Step 4: Simplify right side
    752.32x = 432,165.29
  5. Step 5: Solve for x
    x = 432,165.29/752.32
  6. Step 6: Final answer
    x = 574.44

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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.