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Finding the Fourth Proportional to 864.70, 1,297.02 and 248.41

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Solution

The fourth proportional to 864.70, 1,297.02 and 248.41 is: 372.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.70 : 1,297.02 = 248.41 : x
  2. Step 2: Convert to fraction form
    864.70/1,297.02 = 248.41/x
  3. Step 3: Cross multiply
    864.70x = 1,297.02 × 248.41
  4. Step 4: Simplify right side
    864.70x = 322,192.74
  5. Step 5: Solve for x
    x = 322,192.74/864.70
  6. Step 6: Final answer
    x = 372.61

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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.