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Finding the Fourth Proportional to 540.90, 810.27 and 357.84

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Solution

The fourth proportional to 540.90, 810.27 and 357.84 is: 536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.90 : 810.27 = 357.84 : x
  2. Step 2: Convert to fraction form
    540.90/810.27 = 357.84/x
  3. Step 3: Cross multiply
    540.90x = 810.27 × 357.84
  4. Step 4: Simplify right side
    540.90x = 289,947.02
  5. Step 5: Solve for x
    x = 289,947.02/540.90
  6. Step 6: Final answer
    x = 536.05

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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.