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Finding the Fourth Proportional to 322.14, 480.10 and 319.45

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Solution

The fourth proportional to 322.14, 480.10 and 319.45 is: 476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.14 : 480.10 = 319.45 : x
  2. Step 2: Convert to fraction form
    322.14/480.10 = 319.45/x
  3. Step 3: Cross multiply
    322.14x = 480.10 × 319.45
  4. Step 4: Simplify right side
    322.14x = 153,367.95
  5. Step 5: Solve for x
    x = 153,367.95/322.14
  6. Step 6: Final answer
    x = 476.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.