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Finding the Fourth Proportional to 623.29, 860.14 and 343.54

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Solution

The fourth proportional to 623.29, 860.14 and 343.54 is: 474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.29 : 860.14 = 343.54 : x
  2. Step 2: Convert to fraction form
    623.29/860.14 = 343.54/x
  3. Step 3: Cross multiply
    623.29x = 860.14 × 343.54
  4. Step 4: Simplify right side
    623.29x = 295,488.63
  5. Step 5: Solve for x
    x = 295,488.63/623.29
  6. Step 6: Final answer
    x = 474.08

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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.