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Finding the Fourth Proportional to 596.65, 824.00 and 410.62

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Solution

The fourth proportional to 596.65, 824.00 and 410.62 is: 567.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.65 : 824.00 = 410.62 : x
  2. Step 2: Convert to fraction form
    596.65/824.00 = 410.62/x
  3. Step 3: Cross multiply
    596.65x = 824.00 × 410.62
  4. Step 4: Simplify right side
    596.65x = 338,346.76
  5. Step 5: Solve for x
    x = 338,346.76/596.65
  6. Step 6: Final answer
    x = 567.08

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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.