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Finding the Fourth Proportional to 596.68, 824.04 and 410.65

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Solution

The fourth proportional to 596.68, 824.04 and 410.65 is: 567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.68 : 824.04 = 410.65 : x
  2. Step 2: Convert to fraction form
    596.68/824.04 = 410.65/x
  3. Step 3: Cross multiply
    596.68x = 824.04 × 410.65
  4. Step 4: Simplify right side
    596.68x = 338,389.97
  5. Step 5: Solve for x
    x = 338,389.97/596.68
  6. Step 6: Final answer
    x = 567.12

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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.