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Finding the Fourth Proportional to 540.69, 810.63 and 232.29

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Solution

The fourth proportional to 540.69, 810.63 and 232.29 is: 348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.69 : 810.63 = 232.29 : x
  2. Step 2: Convert to fraction form
    540.69/810.63 = 232.29/x
  3. Step 3: Cross multiply
    540.69x = 810.63 × 232.29
  4. Step 4: Simplify right side
    540.69x = 188,301.24
  5. Step 5: Solve for x
    x = 188,301.24/540.69
  6. Step 6: Final answer
    x = 348.26

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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.