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Finding the Fourth Proportional to 597.55, 824.36 and 401.12

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Solution

The fourth proportional to 597.55, 824.36 and 401.12 is: 553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.55 : 824.36 = 401.12 : x
  2. Step 2: Convert to fraction form
    597.55/824.36 = 401.12/x
  3. Step 3: Cross multiply
    597.55x = 824.36 × 401.12
  4. Step 4: Simplify right side
    597.55x = 330,667.28
  5. Step 5: Solve for x
    x = 330,667.28/597.55
  6. Step 6: Final answer
    x = 553.37

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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.