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Finding the Fourth Proportional to 641.51, 962.55 and 312.27

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Solution

The fourth proportional to 641.51, 962.55 and 312.27 is: 468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.51 : 962.55 = 312.27 : x
  2. Step 2: Convert to fraction form
    641.51/962.55 = 312.27/x
  3. Step 3: Cross multiply
    641.51x = 962.55 × 312.27
  4. Step 4: Simplify right side
    641.51x = 300,575.49
  5. Step 5: Solve for x
    x = 300,575.49/641.51
  6. Step 6: Final answer
    x = 468.54

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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.