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Finding the Fourth Proportional to 642.24, 962.92 and 209.52

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Solution

The fourth proportional to 642.24, 962.92 and 209.52 is: 314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 962.92 = 209.52 : x
  2. Step 2: Convert to fraction form
    642.24/962.92 = 209.52/x
  3. Step 3: Cross multiply
    642.24x = 962.92 × 209.52
  4. Step 4: Simplify right side
    642.24x = 201,751.00
  5. Step 5: Solve for x
    x = 201,751.00/642.24
  6. Step 6: Final answer
    x = 314.14

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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.