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Finding the Fourth Proportional to 496.84, 741.89 and 462.82

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Solution

The fourth proportional to 496.84, 741.89 and 462.82 is: 691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.84 : 741.89 = 462.82 : x
  2. Step 2: Convert to fraction form
    496.84/741.89 = 462.82/x
  3. Step 3: Cross multiply
    496.84x = 741.89 × 462.82
  4. Step 4: Simplify right side
    496.84x = 343,361.53
  5. Step 5: Solve for x
    x = 343,361.53/496.84
  6. Step 6: Final answer
    x = 691.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.