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Finding the Fourth Proportional to 385.20, 577.80 and 256.04

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Solution

The fourth proportional to 385.20, 577.80 and 256.04 is: 384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 577.80 = 256.04 : x
  2. Step 2: Convert to fraction form
    385.20/577.80 = 256.04/x
  3. Step 3: Cross multiply
    385.20x = 577.80 × 256.04
  4. Step 4: Simplify right side
    385.20x = 147,939.91
  5. Step 5: Solve for x
    x = 147,939.91/385.20
  6. Step 6: Final answer
    x = 384.06

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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.