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Finding the Fourth Proportional to 377.86, 566.05 and 296.32

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Solution

The fourth proportional to 377.86, 566.05 and 296.32 is: 443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.86 : 566.05 = 296.32 : x
  2. Step 2: Convert to fraction form
    377.86/566.05 = 296.32/x
  3. Step 3: Cross multiply
    377.86x = 566.05 × 296.32
  4. Step 4: Simplify right side
    377.86x = 167,731.94
  5. Step 5: Solve for x
    x = 167,731.94/377.86
  6. Step 6: Final answer
    x = 443.90

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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.