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Finding the Fourth Proportional to 540.80, 810.49 and 402.76

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Solution

The fourth proportional to 540.80, 810.49 and 402.76 is: 603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.80 : 810.49 = 402.76 : x
  2. Step 2: Convert to fraction form
    540.80/810.49 = 402.76/x
  3. Step 3: Cross multiply
    540.80x = 810.49 × 402.76
  4. Step 4: Simplify right side
    540.80x = 326,432.95
  5. Step 5: Solve for x
    x = 326,432.95/540.80
  6. Step 6: Final answer
    x = 603.61

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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.