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Finding the Fourth Proportional to 623.26, 934.84 and 233.18

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Solution

The fourth proportional to 623.26, 934.84 and 233.18 is: 349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.26 : 934.84 = 233.18 : x
  2. Step 2: Convert to fraction form
    623.26/934.84 = 233.18/x
  3. Step 3: Cross multiply
    623.26x = 934.84 × 233.18
  4. Step 4: Simplify right side
    623.26x = 217,985.99
  5. Step 5: Solve for x
    x = 217,985.99/623.26
  6. Step 6: Final answer
    x = 349.75

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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.