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Finding the Fourth Proportional to 374.09, 561.13 and 293.90

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Solution

The fourth proportional to 374.09, 561.13 and 293.90 is: 440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.09 : 561.13 = 293.90 : x
  2. Step 2: Convert to fraction form
    374.09/561.13 = 293.90/x
  3. Step 3: Cross multiply
    374.09x = 561.13 × 293.90
  4. Step 4: Simplify right side
    374.09x = 164,912.57
  5. Step 5: Solve for x
    x = 164,912.57/374.09
  6. Step 6: Final answer
    x = 440.84

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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.