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Finding the Fourth Proportional to 597.52, 824.10 and 400.66

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Solution

The fourth proportional to 597.52, 824.10 and 400.66 is: 552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.52 : 824.10 = 400.66 : x
  2. Step 2: Convert to fraction form
    597.52/824.10 = 400.66/x
  3. Step 3: Cross multiply
    597.52x = 824.10 × 400.66
  4. Step 4: Simplify right side
    597.52x = 330,183.91
  5. Step 5: Solve for x
    x = 330,183.91/597.52
  6. Step 6: Final answer
    x = 552.59

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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.