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Finding the Fourth Proportional to 623.52, 860.42 and 343.74

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Solution

The fourth proportional to 623.52, 860.42 and 343.74 is: 474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.52 : 860.42 = 343.74 : x
  2. Step 2: Convert to fraction form
    623.52/860.42 = 343.74/x
  3. Step 3: Cross multiply
    623.52x = 860.42 × 343.74
  4. Step 4: Simplify right side
    623.52x = 295,760.77
  5. Step 5: Solve for x
    x = 295,760.77/623.52
  6. Step 6: Final answer
    x = 474.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.