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Finding the Fourth Proportional to 494.42, 741.53 and 322.31

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Solution

The fourth proportional to 494.42, 741.53 and 322.31 is: 483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.42 : 741.53 = 322.31 : x
  2. Step 2: Convert to fraction form
    494.42/741.53 = 322.31/x
  3. Step 3: Cross multiply
    494.42x = 741.53 × 322.31
  4. Step 4: Simplify right side
    494.42x = 238,997.22
  5. Step 5: Solve for x
    x = 238,997.22/494.42
  6. Step 6: Final answer
    x = 483.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.