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Finding the Fourth Proportional to 623.24, 934.24 and 349.56

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Solution

The fourth proportional to 623.24, 934.24 and 349.56 is: 523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.24 : 934.24 = 349.56 : x
  2. Step 2: Convert to fraction form
    623.24/934.24 = 349.56/x
  3. Step 3: Cross multiply
    623.24x = 934.24 × 349.56
  4. Step 4: Simplify right side
    623.24x = 326,572.93
  5. Step 5: Solve for x
    x = 326,572.93/623.24
  6. Step 6: Final answer
    x = 523.99

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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.