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Finding the Fourth Proportional to 597.67, 824.24 and 410.86

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Solution

The fourth proportional to 597.67, 824.24 and 410.86 is: 566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.67 : 824.24 = 410.86 : x
  2. Step 2: Convert to fraction form
    597.67/824.24 = 410.86/x
  3. Step 3: Cross multiply
    597.67x = 824.24 × 410.86
  4. Step 4: Simplify right side
    597.67x = 338,647.25
  5. Step 5: Solve for x
    x = 338,647.25/597.67
  6. Step 6: Final answer
    x = 566.61

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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.