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Finding the Fourth Proportional to 867.68, 1,301.19 and 282.52

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Solution

The fourth proportional to 867.68, 1,301.19 and 282.52 is: 423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.68 : 1,301.19 = 282.52 : x
  2. Step 2: Convert to fraction form
    867.68/1,301.19 = 282.52/x
  3. Step 3: Cross multiply
    867.68x = 1,301.19 × 282.52
  4. Step 4: Simplify right side
    867.68x = 367,612.77
  5. Step 5: Solve for x
    x = 367,612.77/867.68
  6. Step 6: Final answer
    x = 423.67

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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.