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Finding the Fourth Proportional to 377.60, 566.40 and 285.20

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Solution

The fourth proportional to 377.60, 566.40 and 285.20 is: 427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.60 : 566.40 = 285.20 : x
  2. Step 2: Convert to fraction form
    377.60/566.40 = 285.20/x
  3. Step 3: Cross multiply
    377.60x = 566.40 × 285.20
  4. Step 4: Simplify right side
    377.60x = 161,537.28
  5. Step 5: Solve for x
    x = 161,537.28/377.60
  6. Step 6: Final answer
    x = 427.80

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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.