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Finding the Fourth Proportional to 623.97, 860.41 and 414.08

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Solution

The fourth proportional to 623.97, 860.41 and 414.08 is: 570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.97 : 860.41 = 414.08 : x
  2. Step 2: Convert to fraction form
    623.97/860.41 = 414.08/x
  3. Step 3: Cross multiply
    623.97x = 860.41 × 414.08
  4. Step 4: Simplify right side
    623.97x = 356,278.57
  5. Step 5: Solve for x
    x = 356,278.57/623.97
  6. Step 6: Final answer
    x = 570.99

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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.