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Finding the Fourth Proportional to 540.29, 810.73 and 377.66

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Solution

The fourth proportional to 540.29, 810.73 and 377.66 is: 566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.29 : 810.73 = 377.66 : x
  2. Step 2: Convert to fraction form
    540.29/810.73 = 377.66/x
  3. Step 3: Cross multiply
    540.29x = 810.73 × 377.66
  4. Step 4: Simplify right side
    540.29x = 306,182.79
  5. Step 5: Solve for x
    x = 306,182.79/540.29
  6. Step 6: Final answer
    x = 566.70

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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.