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Finding the Fourth Proportional to 641.54, 962.33 and 256.79

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Solution

The fourth proportional to 641.54, 962.33 and 256.79 is: 385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.54 : 962.33 = 256.79 : x
  2. Step 2: Convert to fraction form
    641.54/962.33 = 256.79/x
  3. Step 3: Cross multiply
    641.54x = 962.33 × 256.79
  4. Step 4: Simplify right side
    641.54x = 247,117.84
  5. Step 5: Solve for x
    x = 247,117.84/641.54
  6. Step 6: Final answer
    x = 385.19

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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.