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Finding the Fourth Proportional to 540.62, 810.62 and 228.11

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Solution

The fourth proportional to 540.62, 810.62 and 228.11 is: 342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.62 : 810.62 = 228.11 : x
  2. Step 2: Convert to fraction form
    540.62/810.62 = 228.11/x
  3. Step 3: Cross multiply
    540.62x = 810.62 × 228.11
  4. Step 4: Simplify right side
    540.62x = 184,905.33
  5. Step 5: Solve for x
    x = 184,905.33/540.62
  6. Step 6: Final answer
    x = 342.03

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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.