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Finding the Fourth Proportional to 642.58, 963.14 and 399.27

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Solution

The fourth proportional to 642.58, 963.14 and 399.27 is: 598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.58 : 963.14 = 399.27 : x
  2. Step 2: Convert to fraction form
    642.58/963.14 = 399.27/x
  3. Step 3: Cross multiply
    642.58x = 963.14 × 399.27
  4. Step 4: Simplify right side
    642.58x = 384,550.91
  5. Step 5: Solve for x
    x = 384,550.91/642.58
  6. Step 6: Final answer
    x = 598.45

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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.