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Finding the Fourth Proportional to 377.44, 565.68 and 295.42

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Solution

The fourth proportional to 377.44, 565.68 and 295.42 is: 442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.44 : 565.68 = 295.42 : x
  2. Step 2: Convert to fraction form
    377.44/565.68 = 295.42/x
  3. Step 3: Cross multiply
    377.44x = 565.68 × 295.42
  4. Step 4: Simplify right side
    377.44x = 167,113.19
  5. Step 5: Solve for x
    x = 167,113.19/377.44
  6. Step 6: Final answer
    x = 442.75

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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.