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Finding the Fourth Proportional to 491.86, 677.00 and 408.02

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Solution

The fourth proportional to 491.86, 677.00 and 408.02 is: 561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.86 : 677.00 = 408.02 : x
  2. Step 2: Convert to fraction form
    491.86/677.00 = 408.02/x
  3. Step 3: Cross multiply
    491.86x = 677.00 × 408.02
  4. Step 4: Simplify right side
    491.86x = 276,232.25
  5. Step 5: Solve for x
    x = 276,232.25/491.86
  6. Step 6: Final answer
    x = 561.61

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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.