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Finding the Fourth Proportional to 645.91, 891.36 and 366.14

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Solution

The fourth proportional to 645.91, 891.36 and 366.14 is: 505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.91 : 891.36 = 366.14 : x
  2. Step 2: Convert to fraction form
    645.91/891.36 = 366.14/x
  3. Step 3: Cross multiply
    645.91x = 891.36 × 366.14
  4. Step 4: Simplify right side
    645.91x = 326,360.72
  5. Step 5: Solve for x
    x = 326,360.72/645.91
  6. Step 6: Final answer
    x = 505.28

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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.