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Finding the Fourth Proportional to 867.52, 1,301.35 and 282.30

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Solution

The fourth proportional to 867.52, 1,301.35 and 282.30 is: 423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.52 : 1,301.35 = 282.30 : x
  2. Step 2: Convert to fraction form
    867.52/1,301.35 = 282.30/x
  3. Step 3: Cross multiply
    867.52x = 1,301.35 × 282.30
  4. Step 4: Simplify right side
    867.52x = 367,371.11
  5. Step 5: Solve for x
    x = 367,371.11/867.52
  6. Step 6: Final answer
    x = 423.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.