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Finding the Fourth Proportional to 596.93, 824.13 and 410.36

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Solution

The fourth proportional to 596.93, 824.13 and 410.36 is: 566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.93 : 824.13 = 410.36 : x
  2. Step 2: Convert to fraction form
    596.93/824.13 = 410.36/x
  3. Step 3: Cross multiply
    596.93x = 824.13 × 410.36
  4. Step 4: Simplify right side
    596.93x = 338,185.87
  5. Step 5: Solve for x
    x = 338,185.87/596.93
  6. Step 6: Final answer
    x = 566.55

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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.