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Finding the Fourth Proportional to 374.45, 562.09 and 218.32

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Solution

The fourth proportional to 374.45, 562.09 and 218.32 is: 327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.45 : 562.09 = 218.32 : x
  2. Step 2: Convert to fraction form
    374.45/562.09 = 218.32/x
  3. Step 3: Cross multiply
    374.45x = 562.09 × 218.32
  4. Step 4: Simplify right side
    374.45x = 122,715.53
  5. Step 5: Solve for x
    x = 122,715.53/374.45
  6. Step 6: Final answer
    x = 327.72

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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.