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Finding the Fourth Proportional to 867.56, 1,301.34 and 405.20

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Solution

The fourth proportional to 867.56, 1,301.34 and 405.20 is: 607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.56 : 1,301.34 = 405.20 : x
  2. Step 2: Convert to fraction form
    867.56/1,301.34 = 405.20/x
  3. Step 3: Cross multiply
    867.56x = 1,301.34 × 405.20
  4. Step 4: Simplify right side
    867.56x = 527,296.46
  5. Step 5: Solve for x
    x = 527,296.46/867.56
  6. Step 6: Final answer
    x = 607.80

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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.