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Finding the Fourth Proportional to 377.53, 565.81 and 334.03

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Solution

The fourth proportional to 377.53, 565.81 and 334.03 is: 500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.53 : 565.81 = 334.03 : x
  2. Step 2: Convert to fraction form
    377.53/565.81 = 334.03/x
  3. Step 3: Cross multiply
    377.53x = 565.81 × 334.03
  4. Step 4: Simplify right side
    377.53x = 188,997.51
  5. Step 5: Solve for x
    x = 188,997.51/377.53
  6. Step 6: Final answer
    x = 500.62

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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.