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Finding the Fourth Proportional to 377.53, 565.89 and 337.03

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Solution

The fourth proportional to 377.53, 565.89 and 337.03 is: 505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.53 : 565.89 = 337.03 : x
  2. Step 2: Convert to fraction form
    377.53/565.89 = 337.03/x
  3. Step 3: Cross multiply
    377.53x = 565.89 × 337.03
  4. Step 4: Simplify right side
    377.53x = 190,721.91
  5. Step 5: Solve for x
    x = 190,721.91/377.53
  6. Step 6: Final answer
    x = 505.18

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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.