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Finding the Fourth Proportional to 597.76, 825.04 and 401.44

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Solution

The fourth proportional to 597.76, 825.04 and 401.44 is: 554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.76 : 825.04 = 401.44 : x
  2. Step 2: Convert to fraction form
    597.76/825.04 = 401.44/x
  3. Step 3: Cross multiply
    597.76x = 825.04 × 401.44
  4. Step 4: Simplify right side
    597.76x = 331,204.06
  5. Step 5: Solve for x
    x = 331,204.06/597.76
  6. Step 6: Final answer
    x = 554.08

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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.