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Finding the Fourth Proportional to 868.29, 1,302.32 and 219.02

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Solution

The fourth proportional to 868.29, 1,302.32 and 219.02 is: 328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.29 : 1,302.32 = 219.02 : x
  2. Step 2: Convert to fraction form
    868.29/1,302.32 = 219.02/x
  3. Step 3: Cross multiply
    868.29x = 1,302.32 × 219.02
  4. Step 4: Simplify right side
    868.29x = 285,234.13
  5. Step 5: Solve for x
    x = 285,234.13/868.29
  6. Step 6: Final answer
    x = 328.50

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Double scale
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1.5x scale

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.