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Finding the Fourth Proportional to 623.50, 935.59 and 233.77

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Solution

The fourth proportional to 623.50, 935.59 and 233.77 is: 350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.50 : 935.59 = 233.77 : x
  2. Step 2: Convert to fraction form
    623.50/935.59 = 233.77/x
  3. Step 3: Cross multiply
    623.50x = 935.59 × 233.77
  4. Step 4: Simplify right side
    623.50x = 218,713.46
  5. Step 5: Solve for x
    x = 218,713.46/623.50
  6. Step 6: Final answer
    x = 350.78

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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.