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Finding the Fourth Proportional to 538.68, 811.35 and 512.76

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Solution

The fourth proportional to 538.68, 811.35 and 512.76 is: 772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.68 : 811.35 = 512.76 : x
  2. Step 2: Convert to fraction form
    538.68/811.35 = 512.76/x
  3. Step 3: Cross multiply
    538.68x = 811.35 × 512.76
  4. Step 4: Simplify right side
    538.68x = 416,025.26
  5. Step 5: Solve for x
    x = 416,025.26/538.68
  6. Step 6: Final answer
    x = 772.31

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