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Finding the Fourth Proportional to 867.83, 1,301.74 and 320.06

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Solution

The fourth proportional to 867.83, 1,301.74 and 320.06 is: 480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.83 : 1,301.74 = 320.06 : x
  2. Step 2: Convert to fraction form
    867.83/1,301.74 = 320.06/x
  3. Step 3: Cross multiply
    867.83x = 1,301.74 × 320.06
  4. Step 4: Simplify right side
    867.83x = 416,637.36
  5. Step 5: Solve for x
    x = 416,637.36/867.83
  6. Step 6: Final answer
    x = 480.09

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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.