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Finding the Fourth Proportional to 383.49, 527.72 and 308.16

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Solution

The fourth proportional to 383.49, 527.72 and 308.16 is: 424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.49 : 527.72 = 308.16 : x
  2. Step 2: Convert to fraction form
    383.49/527.72 = 308.16/x
  3. Step 3: Cross multiply
    383.49x = 527.72 × 308.16
  4. Step 4: Simplify right side
    383.49x = 162,620.65
  5. Step 5: Solve for x
    x = 162,620.65/383.49
  6. Step 6: Final answer
    x = 424.05

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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.