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Finding the Fourth Proportional to 623.15, 935.06 and 233.42

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Solution

The fourth proportional to 623.15, 935.06 and 233.42 is: 350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.15 : 935.06 = 233.42 : x
  2. Step 2: Convert to fraction form
    623.15/935.06 = 233.42/x
  3. Step 3: Cross multiply
    623.15x = 935.06 × 233.42
  4. Step 4: Simplify right side
    623.15x = 218,258.78
  5. Step 5: Solve for x
    x = 218,258.78/623.15
  6. Step 6: Final answer
    x = 350.25

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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.