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Finding the Fourth Proportional to 377.40, 565.57 and 295.23

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Solution

The fourth proportional to 377.40, 565.57 and 295.23 is: 442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.40 : 565.57 = 295.23 : x
  2. Step 2: Convert to fraction form
    377.40/565.57 = 295.23/x
  3. Step 3: Cross multiply
    377.40x = 565.57 × 295.23
  4. Step 4: Simplify right side
    377.40x = 166,973.23
  5. Step 5: Solve for x
    x = 166,973.23/377.40
  6. Step 6: Final answer
    x = 442.43

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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.