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Finding the Fourth Proportional to 540.74, 810.93 and 216.02

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Solution

The fourth proportional to 540.74, 810.93 and 216.02 is: 323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.74 : 810.93 = 216.02 : x
  2. Step 2: Convert to fraction form
    540.74/810.93 = 216.02/x
  3. Step 3: Cross multiply
    540.74x = 810.93 × 216.02
  4. Step 4: Simplify right side
    540.74x = 175,177.10
  5. Step 5: Solve for x
    x = 175,177.10/540.74
  6. Step 6: Final answer
    x = 323.96

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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.