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Finding the Fourth Proportional to 377.74, 565.83 and 364.69

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Solution

The fourth proportional to 377.74, 565.83 and 364.69 is: 546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.74 : 565.83 = 364.69 : x
  2. Step 2: Convert to fraction form
    377.74/565.83 = 364.69/x
  3. Step 3: Cross multiply
    377.74x = 565.83 × 364.69
  4. Step 4: Simplify right side
    377.74x = 206,349.76
  5. Step 5: Solve for x
    x = 206,349.76/377.74
  6. Step 6: Final answer
    x = 546.27

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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.