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Finding the Fourth Proportional to 385.80, 577.80 and 378.06

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Solution

The fourth proportional to 385.80, 577.80 and 378.06 is: 566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.80 : 577.80 = 378.06 : x
  2. Step 2: Convert to fraction form
    385.80/577.80 = 378.06/x
  3. Step 3: Cross multiply
    385.80x = 577.80 × 378.06
  4. Step 4: Simplify right side
    385.80x = 218,443.07
  5. Step 5: Solve for x
    x = 218,443.07/385.80
  6. Step 6: Final answer
    x = 566.21

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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.