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Finding the Fourth Proportional to 576, 864.27 and 468

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Solution

The fourth proportional to 576, 864.27 and 468 is: 702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 864.27 = 468 : x
  2. Step 2: Convert to fraction form
    576/864.27 = 468/x
  3. Step 3: Cross multiply
    576x = 864.27 × 468
  4. Step 4: Simplify right side
    576x = 404,478.36
  5. Step 5: Solve for x
    x = 404,478.36/576
  6. Step 6: Final answer
    x = 702.22

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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.