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Finding the Fourth Proportional to 493.32, 741.68 and 391.88

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Solution

The fourth proportional to 493.32, 741.68 and 391.88 is: 589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.32 : 741.68 = 391.88 : x
  2. Step 2: Convert to fraction form
    493.32/741.68 = 391.88/x
  3. Step 3: Cross multiply
    493.32x = 741.68 × 391.88
  4. Step 4: Simplify right side
    493.32x = 290,649.56
  5. Step 5: Solve for x
    x = 290,649.56/493.32
  6. Step 6: Final answer
    x = 589.17

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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.