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Finding the Fourth Proportional to 598.17, 825.15 and 401.82

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Solution

The fourth proportional to 598.17, 825.15 and 401.82 is: 554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.17 : 825.15 = 401.82 : x
  2. Step 2: Convert to fraction form
    598.17/825.15 = 401.82/x
  3. Step 3: Cross multiply
    598.17x = 825.15 × 401.82
  4. Step 4: Simplify right side
    598.17x = 331,561.77
  5. Step 5: Solve for x
    x = 331,561.77/598.17
  6. Step 6: Final answer
    x = 554.29

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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.