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Finding the Fourth Proportional to 365.36, 547.43 and 256.96

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Solution

The fourth proportional to 365.36, 547.43 and 256.96 is: 385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.36 : 547.43 = 256.96 : x
  2. Step 2: Convert to fraction form
    365.36/547.43 = 256.96/x
  3. Step 3: Cross multiply
    365.36x = 547.43 × 256.96
  4. Step 4: Simplify right side
    365.36x = 140,663.59
  5. Step 5: Solve for x
    x = 140,663.59/365.36
  6. Step 6: Final answer
    x = 385.00

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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.