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Finding the Fourth Proportional to 322.16, 483.42 and 319.55

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Solution

The fourth proportional to 322.16, 483.42 and 319.55 is: 479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.16 : 483.42 = 319.55 : x
  2. Step 2: Convert to fraction form
    322.16/483.42 = 319.55/x
  3. Step 3: Cross multiply
    322.16x = 483.42 × 319.55
  4. Step 4: Simplify right side
    322.16x = 154,472.85
  5. Step 5: Solve for x
    x = 154,472.85/322.16
  6. Step 6: Final answer
    x = 479.50

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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.