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Finding the Fourth Proportional to 576.54, 867.88 and 517

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Solution

The fourth proportional to 576.54, 867.88 and 517 is: 778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.54 : 867.88 = 517 : x
  2. Step 2: Convert to fraction form
    576.54/867.88 = 517/x
  3. Step 3: Cross multiply
    576.54x = 867.88 × 517
  4. Step 4: Simplify right side
    576.54x = 448,693.96
  5. Step 5: Solve for x
    x = 448,693.96/576.54
  6. Step 6: Final answer
    x = 778.26

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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.