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Finding the Fourth Proportional to 377.65, 566.46 and 213.10

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Solution

The fourth proportional to 377.65, 566.46 and 213.10 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.65 : 566.46 = 213.10 : x
  2. Step 2: Convert to fraction form
    377.65/566.46 = 213.10/x
  3. Step 3: Cross multiply
    377.65x = 566.46 × 213.10
  4. Step 4: Simplify right side
    377.65x = 120,711.21
  5. Step 5: Solve for x
    x = 120,711.21/377.65
  6. Step 6: Final answer
    x = 319.64

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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.