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Finding the Fourth Proportional to 540.30, 810.76 and 227.93

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Solution

The fourth proportional to 540.30, 810.76 and 227.93 is: 342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.30 : 810.76 = 227.93 : x
  2. Step 2: Convert to fraction form
    540.30/810.76 = 227.93/x
  3. Step 3: Cross multiply
    540.30x = 810.76 × 227.93
  4. Step 4: Simplify right side
    540.30x = 184,794.71
  5. Step 5: Solve for x
    x = 184,794.71/540.30
  6. Step 6: Final answer
    x = 342.02

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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.