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Finding the Fourth Proportional to 645.86, 891.24 and 366.08

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Solution

The fourth proportional to 645.86, 891.24 and 366.08 is: 505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.86 : 891.24 = 366.08 : x
  2. Step 2: Convert to fraction form
    645.86/891.24 = 366.08/x
  3. Step 3: Cross multiply
    645.86x = 891.24 × 366.08
  4. Step 4: Simplify right side
    645.86x = 326,265.14
  5. Step 5: Solve for x
    x = 326,265.14/645.86
  6. Step 6: Final answer
    x = 505.16

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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.