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Finding the Fourth Proportional to 494.34, 741.43 and 289

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Solution

The fourth proportional to 494.34, 741.43 and 289 is: 433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.34 : 741.43 = 289 : x
  2. Step 2: Convert to fraction form
    494.34/741.43 = 289/x
  3. Step 3: Cross multiply
    494.34x = 741.43 × 289
  4. Step 4: Simplify right side
    494.34x = 214,273.27
  5. Step 5: Solve for x
    x = 214,273.27/494.34
  6. Step 6: Final answer
    x = 433.45

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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.