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Finding the Fourth Proportional to 532.45, 799.37 and 410.80

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Solution

The fourth proportional to 532.45, 799.37 and 410.80 is: 616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.45 : 799.37 = 410.80 : x
  2. Step 2: Convert to fraction form
    532.45/799.37 = 410.80/x
  3. Step 3: Cross multiply
    532.45x = 799.37 × 410.80
  4. Step 4: Simplify right side
    532.45x = 328,379.14
  5. Step 5: Solve for x
    x = 328,379.14/532.45
  6. Step 6: Final answer
    x = 616.73

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