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Finding the Fourth Proportional to 576.52, 868.16 and 415.32

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Solution

The fourth proportional to 576.52, 868.16 and 415.32 is: 625.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.52 : 868.16 = 415.32 : x
  2. Step 2: Convert to fraction form
    576.52/868.16 = 415.32/x
  3. Step 3: Cross multiply
    576.52x = 868.16 × 415.32
  4. Step 4: Simplify right side
    576.52x = 360,564.21
  5. Step 5: Solve for x
    x = 360,564.21/576.52
  6. Step 6: Final answer
    x = 625.41

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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.