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Finding the Fourth Proportional to 641.77, 885.69 and 362.05

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Solution

The fourth proportional to 641.77, 885.69 and 362.05 is: 499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.77 : 885.69 = 362.05 : x
  2. Step 2: Convert to fraction form
    641.77/885.69 = 362.05/x
  3. Step 3: Cross multiply
    641.77x = 885.69 × 362.05
  4. Step 4: Simplify right side
    641.77x = 320,664.06
  5. Step 5: Solve for x
    x = 320,664.06/641.77
  6. Step 6: Final answer
    x = 499.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.