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Finding the Fourth Proportional to 641.27, 962.64 and 433.23

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Solution

The fourth proportional to 641.27, 962.64 and 433.23 is: 650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.27 : 962.64 = 433.23 : x
  2. Step 2: Convert to fraction form
    641.27/962.64 = 433.23/x
  3. Step 3: Cross multiply
    641.27x = 962.64 × 433.23
  4. Step 4: Simplify right side
    641.27x = 417,044.53
  5. Step 5: Solve for x
    x = 417,044.53/641.27
  6. Step 6: Final answer
    x = 650.35

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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.