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Finding the Fourth Proportional to 370.42, 556.10 and 233.74

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Solution

The fourth proportional to 370.42, 556.10 and 233.74 is: 350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.42 : 556.10 = 233.74 : x
  2. Step 2: Convert to fraction form
    370.42/556.10 = 233.74/x
  3. Step 3: Cross multiply
    370.42x = 556.10 × 233.74
  4. Step 4: Simplify right side
    370.42x = 129,982.81
  5. Step 5: Solve for x
    x = 129,982.81/370.42
  6. Step 6: Final answer
    x = 350.91

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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.