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Finding the Fourth Proportional to 287.43, 429.05 and 247.11

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Solution

The fourth proportional to 287.43, 429.05 and 247.11 is: 368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.43 : 429.05 = 247.11 : x
  2. Step 2: Convert to fraction form
    287.43/429.05 = 247.11/x
  3. Step 3: Cross multiply
    287.43x = 429.05 × 247.11
  4. Step 4: Simplify right side
    287.43x = 106,021.31
  5. Step 5: Solve for x
    x = 106,021.31/287.43
  6. Step 6: Final answer
    x = 368.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.