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Finding the Fourth Proportional to 377.80, 565.89 and 304.90

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Solution

The fourth proportional to 377.80, 565.89 and 304.90 is: 456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.80 : 565.89 = 304.90 : x
  2. Step 2: Convert to fraction form
    377.80/565.89 = 304.90/x
  3. Step 3: Cross multiply
    377.80x = 565.89 × 304.90
  4. Step 4: Simplify right side
    377.80x = 172,539.86
  5. Step 5: Solve for x
    x = 172,539.86/377.80
  6. Step 6: Final answer
    x = 456.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.