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Finding the Fourth Proportional to 596.52, 823.20 and 410.40

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Solution

The fourth proportional to 596.52, 823.20 and 410.40 is: 566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.52 : 823.20 = 410.40 : x
  2. Step 2: Convert to fraction form
    596.52/823.20 = 410.40/x
  3. Step 3: Cross multiply
    596.52x = 823.20 × 410.40
  4. Step 4: Simplify right side
    596.52x = 337,841.28
  5. Step 5: Solve for x
    x = 337,841.28/596.52
  6. Step 6: Final answer
    x = 566.35

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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.