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Finding the Fourth Proportional to 298.11, 446.22 and 286.77

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Solution

The fourth proportional to 298.11, 446.22 and 286.77 is: 429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.11 : 446.22 = 286.77 : x
  2. Step 2: Convert to fraction form
    298.11/446.22 = 286.77/x
  3. Step 3: Cross multiply
    298.11x = 446.22 × 286.77
  4. Step 4: Simplify right side
    298.11x = 127,962.51
  5. Step 5: Solve for x
    x = 127,962.51/298.11
  6. Step 6: Final answer
    x = 429.25

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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.