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Finding the Fourth Proportional to 645.91, 891.54 and 409.86

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Solution

The fourth proportional to 645.91, 891.54 and 409.86 is: 565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.91 : 891.54 = 409.86 : x
  2. Step 2: Convert to fraction form
    645.91/891.54 = 409.86/x
  3. Step 3: Cross multiply
    645.91x = 891.54 × 409.86
  4. Step 4: Simplify right side
    645.91x = 365,406.58
  5. Step 5: Solve for x
    x = 365,406.58/645.91
  6. Step 6: Final answer
    x = 565.73

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