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Finding the Fourth Proportional to 534.12, 797.36 and 510.48

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Solution

The fourth proportional to 534.12, 797.36 and 510.48 is: 762.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.12 : 797.36 = 510.48 : x
  2. Step 2: Convert to fraction form
    534.12/797.36 = 510.48/x
  3. Step 3: Cross multiply
    534.12x = 797.36 × 510.48
  4. Step 4: Simplify right side
    534.12x = 407,033.78
  5. Step 5: Solve for x
    x = 407,033.78/534.12
  6. Step 6: Final answer
    x = 762.06

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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.