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Finding the Fourth Proportional to 864.97, 1,297.42 and 280.00

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Solution

The fourth proportional to 864.97, 1,297.42 and 280.00 is: 419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.97 : 1,297.42 = 280.00 : x
  2. Step 2: Convert to fraction form
    864.97/1,297.42 = 280.00/x
  3. Step 3: Cross multiply
    864.97x = 1,297.42 × 280.00
  4. Step 4: Simplify right side
    864.97x = 363,280.10
  5. Step 5: Solve for x
    x = 363,280.10/864.97
  6. Step 6: Final answer
    x = 419.99

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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.