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Finding the Fourth Proportional to 868.13, 1,302.07 and 283.06

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Solution

The fourth proportional to 868.13, 1,302.07 and 283.06 is: 424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.13 : 1,302.07 = 283.06 : x
  2. Step 2: Convert to fraction form
    868.13/1,302.07 = 283.06/x
  3. Step 3: Cross multiply
    868.13x = 1,302.07 × 283.06
  4. Step 4: Simplify right side
    868.13x = 368,563.93
  5. Step 5: Solve for x
    x = 368,563.93/868.13
  6. Step 6: Final answer
    x = 424.55

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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.