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Finding the Fourth Proportional to 491.06, 677.50 and 304.56

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Solution

The fourth proportional to 491.06, 677.50 and 304.56 is: 420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.06 : 677.50 = 304.56 : x
  2. Step 2: Convert to fraction form
    491.06/677.50 = 304.56/x
  3. Step 3: Cross multiply
    491.06x = 677.50 × 304.56
  4. Step 4: Simplify right side
    491.06x = 206,334.49
  5. Step 5: Solve for x
    x = 206,334.49/491.06
  6. Step 6: Final answer
    x = 420.19

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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.