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Finding the Fourth Proportional to 374.46, 561.93 and 212.46

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Solution

The fourth proportional to 374.46, 561.93 and 212.46 is: 318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.46 : 561.93 = 212.46 : x
  2. Step 2: Convert to fraction form
    374.46/561.93 = 212.46/x
  3. Step 3: Cross multiply
    374.46x = 561.93 × 212.46
  4. Step 4: Simplify right side
    374.46x = 119,387.65
  5. Step 5: Solve for x
    x = 119,387.65/374.46
  6. Step 6: Final answer
    x = 318.83

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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.