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Finding the Fourth Proportional to 576, 864 and 319.50

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Solution

The fourth proportional to 576, 864 and 319.50 is: 479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 864 = 319.50 : x
  2. Step 2: Convert to fraction form
    576/864 = 319.50/x
  3. Step 3: Cross multiply
    576x = 864 × 319.50
  4. Step 4: Simplify right side
    576x = 276,048
  5. Step 5: Solve for x
    x = 276,048/576
  6. Step 6: Final answer
    x = 479.25

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Why These Related Problems?

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