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Finding the Fourth Proportional to 370.86, 556.80 and 233.50

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Solution

The fourth proportional to 370.86, 556.80 and 233.50 is: 350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.86 : 556.80 = 233.50 : x
  2. Step 2: Convert to fraction form
    370.86/556.80 = 233.50/x
  3. Step 3: Cross multiply
    370.86x = 556.80 × 233.50
  4. Step 4: Simplify right side
    370.86x = 130,011.41
  5. Step 5: Solve for x
    x = 130,011.41/370.86
  6. Step 6: Final answer
    x = 350.57

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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.