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Finding the Fourth Proportional to 641.02, 962.00 and 410.47

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Solution

The fourth proportional to 641.02, 962.00 and 410.47 is: 616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.02 : 962.00 = 410.47 : x
  2. Step 2: Convert to fraction form
    641.02/962.00 = 410.47/x
  3. Step 3: Cross multiply
    641.02x = 962.00 × 410.47
  4. Step 4: Simplify right side
    641.02x = 394,871.29
  5. Step 5: Solve for x
    x = 394,871.29/641.02
  6. Step 6: Final answer
    x = 616.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.