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Finding the Fourth Proportional to 867.38, 1,300.29 and 319.43

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Solution

The fourth proportional to 867.38, 1,300.29 and 319.43 is: 478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.38 : 1,300.29 = 319.43 : x
  2. Step 2: Convert to fraction form
    867.38/1,300.29 = 319.43/x
  3. Step 3: Cross multiply
    867.38x = 1,300.29 × 319.43
  4. Step 4: Simplify right side
    867.38x = 415,345.13
  5. Step 5: Solve for x
    x = 415,345.13/867.38
  6. Step 6: Final answer
    x = 478.85

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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.