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Finding the Fourth Proportional to 384.43, 576.20 and 260.77

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Solution

The fourth proportional to 384.43, 576.20 and 260.77 is: 390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.43 : 576.20 = 260.77 : x
  2. Step 2: Convert to fraction form
    384.43/576.20 = 260.77/x
  3. Step 3: Cross multiply
    384.43x = 576.20 × 260.77
  4. Step 4: Simplify right side
    384.43x = 150,254.37
  5. Step 5: Solve for x
    x = 150,254.37/384.43
  6. Step 6: Final answer
    x = 390.85

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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.