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Finding the Fourth Proportional to 641.64, 961.65 and 397.83

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Solution

The fourth proportional to 641.64, 961.65 and 397.83 is: 596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.64 : 961.65 = 397.83 : x
  2. Step 2: Convert to fraction form
    641.64/961.65 = 397.83/x
  3. Step 3: Cross multiply
    641.64x = 961.65 × 397.83
  4. Step 4: Simplify right side
    641.64x = 382,573.22
  5. Step 5: Solve for x
    x = 382,573.22/641.64
  6. Step 6: Final answer
    x = 596.24

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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.