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Finding the Fourth Proportional to 383.91, 574.10 and 286.48

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Solution

The fourth proportional to 383.91, 574.10 and 286.48 is: 428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.91 : 574.10 = 286.48 : x
  2. Step 2: Convert to fraction form
    383.91/574.10 = 286.48/x
  3. Step 3: Cross multiply
    383.91x = 574.10 × 286.48
  4. Step 4: Simplify right side
    383.91x = 164,466.91
  5. Step 5: Solve for x
    x = 164,466.91/383.91
  6. Step 6: Final answer
    x = 428.40

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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.