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Finding the Fourth Proportional to 491.00, 677.41 and 304.42

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Solution

The fourth proportional to 491.00, 677.41 and 304.42 is: 420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.00 : 677.41 = 304.42 : x
  2. Step 2: Convert to fraction form
    491.00/677.41 = 304.42/x
  3. Step 3: Cross multiply
    491.00x = 677.41 × 304.42
  4. Step 4: Simplify right side
    491.00x = 206,217.15
  5. Step 5: Solve for x
    x = 206,217.15/491.00
  6. Step 6: Final answer
    x = 420.00

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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.