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Finding the Fourth Proportional to 385.50, 577.58 and 255.42

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Solution

The fourth proportional to 385.50, 577.58 and 255.42 is: 382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.50 : 577.58 = 255.42 : x
  2. Step 2: Convert to fraction form
    385.50/577.58 = 255.42/x
  3. Step 3: Cross multiply
    385.50x = 577.58 × 255.42
  4. Step 4: Simplify right side
    385.50x = 147,525.48
  5. Step 5: Solve for x
    x = 147,525.48/385.50
  6. Step 6: Final answer
    x = 382.69

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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.