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Finding the Fourth Proportional to 384.00, 529.83 and 265.78

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Solution

The fourth proportional to 384.00, 529.83 and 265.78 is: 366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.00 : 529.83 = 265.78 : x
  2. Step 2: Convert to fraction form
    384.00/529.83 = 265.78/x
  3. Step 3: Cross multiply
    384.00x = 529.83 × 265.78
  4. Step 4: Simplify right side
    384.00x = 140,815.90
  5. Step 5: Solve for x
    x = 140,815.90/384.00
  6. Step 6: Final answer
    x = 366.71

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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.