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Finding the Fourth Proportional to 576, 868.32 and 567.36

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Solution

The fourth proportional to 576, 868.32 and 567.36 is: 855.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 868.32 = 567.36 : x
  2. Step 2: Convert to fraction form
    576/868.32 = 567.36/x
  3. Step 3: Cross multiply
    576x = 868.32 × 567.36
  4. Step 4: Simplify right side
    576x = 492,650.04
  5. Step 5: Solve for x
    x = 492,650.04/576
  6. Step 6: Final answer
    x = 855.30

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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.