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Finding the Fourth Proportional to 641.80, 962.68 and 208.92

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Solution

The fourth proportional to 641.80, 962.68 and 208.92 is: 313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.80 : 962.68 = 208.92 : x
  2. Step 2: Convert to fraction form
    641.80/962.68 = 208.92/x
  3. Step 3: Cross multiply
    641.80x = 962.68 × 208.92
  4. Step 4: Simplify right side
    641.80x = 201,123.11
  5. Step 5: Solve for x
    x = 201,123.11/641.80
  6. Step 6: Final answer
    x = 313.37

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1.5x scale

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.