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Finding the Fourth Proportional to 597.62, 824.54 and 401.42

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Solution

The fourth proportional to 597.62, 824.54 and 401.42 is: 553.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.62 : 824.54 = 401.42 : x
  2. Step 2: Convert to fraction form
    597.62/824.54 = 401.42/x
  3. Step 3: Cross multiply
    597.62x = 824.54 × 401.42
  4. Step 4: Simplify right side
    597.62x = 330,986.85
  5. Step 5: Solve for x
    x = 330,986.85/597.62
  6. Step 6: Final answer
    x = 553.84

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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.