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Finding the Fourth Proportional to 597.10, 823.15 and 410.29

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Solution

The fourth proportional to 597.10, 823.15 and 410.29 is: 565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.10 : 823.15 = 410.29 : x
  2. Step 2: Convert to fraction form
    597.10/823.15 = 410.29/x
  3. Step 3: Cross multiply
    597.10x = 823.15 × 410.29
  4. Step 4: Simplify right side
    597.10x = 337,730.21
  5. Step 5: Solve for x
    x = 337,730.21/597.10
  6. Step 6: Final answer
    x = 565.62

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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.