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Finding the Fourth Proportional to 534.16, 801.48 and 511.12

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Solution

The fourth proportional to 534.16, 801.48 and 511.12 is: 766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.16 : 801.48 = 511.12 : x
  2. Step 2: Convert to fraction form
    534.16/801.48 = 511.12/x
  3. Step 3: Cross multiply
    534.16x = 801.48 × 511.12
  4. Step 4: Simplify right side
    534.16x = 409,652.46
  5. Step 5: Solve for x
    x = 409,652.46/534.16
  6. Step 6: Final answer
    x = 766.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.