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Finding the Fourth Proportional to 645.88, 891.44 and 366.13

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Solution

The fourth proportional to 645.88, 891.44 and 366.13 is: 505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.88 : 891.44 = 366.13 : x
  2. Step 2: Convert to fraction form
    645.88/891.44 = 366.13/x
  3. Step 3: Cross multiply
    645.88x = 891.44 × 366.13
  4. Step 4: Simplify right side
    645.88x = 326,378.47
  5. Step 5: Solve for x
    x = 326,378.47/645.88
  6. Step 6: Final answer
    x = 505.33

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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.