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Finding the Fourth Proportional to 641.59, 962.81 and 353.23

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Solution

The fourth proportional to 641.59, 962.81 and 353.23 is: 530.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.59 : 962.81 = 353.23 : x
  2. Step 2: Convert to fraction form
    641.59/962.81 = 353.23/x
  3. Step 3: Cross multiply
    641.59x = 962.81 × 353.23
  4. Step 4: Simplify right side
    641.59x = 340,091.61
  5. Step 5: Solve for x
    x = 340,091.61/641.59
  6. Step 6: Final answer
    x = 530.08

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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.