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Finding the Fourth Proportional to 377.96, 568.20 and 309.99

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Solution

The fourth proportional to 377.96, 568.20 and 309.99 is: 466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.96 : 568.20 = 309.99 : x
  2. Step 2: Convert to fraction form
    377.96/568.20 = 309.99/x
  3. Step 3: Cross multiply
    377.96x = 568.20 × 309.99
  4. Step 4: Simplify right side
    377.96x = 176,136.32
  5. Step 5: Solve for x
    x = 176,136.32/377.96
  6. Step 6: Final answer
    x = 466.02

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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.