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Finding the Fourth Proportional to 642.24, 962.96 and 209.36

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Solution

The fourth proportional to 642.24, 962.96 and 209.36 is: 313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 962.96 = 209.36 : x
  2. Step 2: Convert to fraction form
    642.24/962.96 = 209.36/x
  3. Step 3: Cross multiply
    642.24x = 962.96 × 209.36
  4. Step 4: Simplify right side
    642.24x = 201,605.31
  5. Step 5: Solve for x
    x = 201,605.31/642.24
  6. Step 6: Final answer
    x = 313.91

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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.