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Finding the Fourth Proportional to 868.23, 1,302.93 and 320.85

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Solution

The fourth proportional to 868.23, 1,302.93 and 320.85 is: 481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.23 : 1,302.93 = 320.85 : x
  2. Step 2: Convert to fraction form
    868.23/1,302.93 = 320.85/x
  3. Step 3: Cross multiply
    868.23x = 1,302.93 × 320.85
  4. Step 4: Simplify right side
    868.23x = 418,045.09
  5. Step 5: Solve for x
    x = 418,045.09/868.23
  6. Step 6: Final answer
    x = 481.49

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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.