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Finding the Fourth Proportional to 494.31, 740.61 and 384.84

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Solution

The fourth proportional to 494.31, 740.61 and 384.84 is: 576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.31 : 740.61 = 384.84 : x
  2. Step 2: Convert to fraction form
    494.31/740.61 = 384.84/x
  3. Step 3: Cross multiply
    494.31x = 740.61 × 384.84
  4. Step 4: Simplify right side
    494.31x = 285,016.35
  5. Step 5: Solve for x
    x = 285,016.35/494.31
  6. Step 6: Final answer
    x = 576.59

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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.