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Finding the Fourth Proportional to 542.88, 810.90 and 515.34

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Solution

The fourth proportional to 542.88, 810.90 and 515.34 is: 769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.88 : 810.90 = 515.34 : x
  2. Step 2: Convert to fraction form
    542.88/810.90 = 515.34/x
  3. Step 3: Cross multiply
    542.88x = 810.90 × 515.34
  4. Step 4: Simplify right side
    542.88x = 417,889.21
  5. Step 5: Solve for x
    x = 417,889.21/542.88
  6. Step 6: Final answer
    x = 769.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.