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Finding the Fourth Proportional to 537.12, 810.36 and 510.12

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Solution

The fourth proportional to 537.12, 810.36 and 510.12 is: 769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.12 : 810.36 = 510.12 : x
  2. Step 2: Convert to fraction form
    537.12/810.36 = 510.12/x
  3. Step 3: Cross multiply
    537.12x = 810.36 × 510.12
  4. Step 4: Simplify right side
    537.12x = 413,380.84
  5. Step 5: Solve for x
    x = 413,380.84/537.12
  6. Step 6: Final answer
    x = 769.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.