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Finding the Fourth Proportional to 383.76, 575.06 and 280.89

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Solution

The fourth proportional to 383.76, 575.06 and 280.89 is: 420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.76 : 575.06 = 280.89 : x
  2. Step 2: Convert to fraction form
    383.76/575.06 = 280.89/x
  3. Step 3: Cross multiply
    383.76x = 575.06 × 280.89
  4. Step 4: Simplify right side
    383.76x = 161,527.20
  5. Step 5: Solve for x
    x = 161,527.20/383.76
  6. Step 6: Final answer
    x = 420.91

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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.