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Finding the Fourth Proportional to 287.66, 396.68 and 246.35

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Solution

The fourth proportional to 287.66, 396.68 and 246.35 is: 339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.66 : 396.68 = 246.35 : x
  2. Step 2: Convert to fraction form
    287.66/396.68 = 246.35/x
  3. Step 3: Cross multiply
    287.66x = 396.68 × 246.35
  4. Step 4: Simplify right side
    287.66x = 97,722.12
  5. Step 5: Solve for x
    x = 97,722.12/287.66
  6. Step 6: Final answer
    x = 339.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.