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Finding the Fourth Proportional to 623.28, 860.52 and 513.12

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Solution

The fourth proportional to 623.28, 860.52 and 513.12 is: 708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.28 : 860.52 = 513.12 : x
  2. Step 2: Convert to fraction form
    623.28/860.52 = 513.12/x
  3. Step 3: Cross multiply
    623.28x = 860.52 × 513.12
  4. Step 4: Simplify right side
    623.28x = 441,550.02
  5. Step 5: Solve for x
    x = 441,550.02/623.28
  6. Step 6: Final answer
    x = 708.43

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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.