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Finding the Fourth Proportional to 383.76, 574.72 and 325.77

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Solution

The fourth proportional to 383.76, 574.72 and 325.77 is: 487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.76 : 574.72 = 325.77 : x
  2. Step 2: Convert to fraction form
    383.76/574.72 = 325.77/x
  3. Step 3: Cross multiply
    383.76x = 574.72 × 325.77
  4. Step 4: Simplify right side
    383.76x = 187,226.53
  5. Step 5: Solve for x
    x = 187,226.53/383.76
  6. Step 6: Final answer
    x = 487.87

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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.