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Finding the Fourth Proportional to 598.47, 825.54 and 402.26

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Solution

The fourth proportional to 598.47, 825.54 and 402.26 is: 554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.47 : 825.54 = 402.26 : x
  2. Step 2: Convert to fraction form
    598.47/825.54 = 402.26/x
  3. Step 3: Cross multiply
    598.47x = 825.54 × 402.26
  4. Step 4: Simplify right side
    598.47x = 332,077.59
  5. Step 5: Solve for x
    x = 332,077.59/598.47
  6. Step 6: Final answer
    x = 554.88

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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.