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Finding the Fourth Proportional to 641.37, 961.95 and 307.74

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Solution

The fourth proportional to 641.37, 961.95 and 307.74 is: 461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.37 : 961.95 = 307.74 : x
  2. Step 2: Convert to fraction form
    641.37/961.95 = 307.74/x
  3. Step 3: Cross multiply
    641.37x = 961.95 × 307.74
  4. Step 4: Simplify right side
    641.37x = 296,030.49
  5. Step 5: Solve for x
    x = 296,030.49/641.37
  6. Step 6: Final answer
    x = 461.56

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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.