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Finding the Fourth Proportional to 596.73, 895.10 and 515.33

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Solution

The fourth proportional to 596.73, 895.10 and 515.33 is: 772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.73 : 895.10 = 515.33 : x
  2. Step 2: Convert to fraction form
    596.73/895.10 = 515.33/x
  3. Step 3: Cross multiply
    596.73x = 895.10 × 515.33
  4. Step 4: Simplify right side
    596.73x = 461,264.83
  5. Step 5: Solve for x
    x = 461,264.83/596.73
  6. Step 6: Final answer
    x = 772.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.