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Finding the Fourth Proportional to 867.51, 1,301.16 and 319.65

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Solution

The fourth proportional to 867.51, 1,301.16 and 319.65 is: 479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.51 : 1,301.16 = 319.65 : x
  2. Step 2: Convert to fraction form
    867.51/1,301.16 = 319.65/x
  3. Step 3: Cross multiply
    867.51x = 1,301.16 × 319.65
  4. Step 4: Simplify right side
    867.51x = 415,912.11
  5. Step 5: Solve for x
    x = 415,912.11/867.51
  6. Step 6: Final answer
    x = 479.43

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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.