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Finding the Fourth Proportional to 598.36, 826.88 and 540.04

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Solution

The fourth proportional to 598.36, 826.88 and 540.04 is: 746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.36 : 826.88 = 540.04 : x
  2. Step 2: Convert to fraction form
    598.36/826.88 = 540.04/x
  3. Step 3: Cross multiply
    598.36x = 826.88 × 540.04
  4. Step 4: Simplify right side
    598.36x = 446,548.28
  5. Step 5: Solve for x
    x = 446,548.28/598.36
  6. Step 6: Final answer
    x = 746.29

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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.