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Finding the Fourth Proportional to 491.89, 741.17 and 407.11

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Solution

The fourth proportional to 491.89, 741.17 and 407.11 is: 613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.89 : 741.17 = 407.11 : x
  2. Step 2: Convert to fraction form
    491.89/741.17 = 407.11/x
  3. Step 3: Cross multiply
    491.89x = 741.17 × 407.11
  4. Step 4: Simplify right side
    491.89x = 301,737.72
  5. Step 5: Solve for x
    x = 301,737.72/491.89
  6. Step 6: Final answer
    x = 613.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.