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Finding the Fourth Proportional to 294.48, 439.83 and 270.24

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Solution

The fourth proportional to 294.48, 439.83 and 270.24 is: 403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.48 : 439.83 = 270.24 : x
  2. Step 2: Convert to fraction form
    294.48/439.83 = 270.24/x
  3. Step 3: Cross multiply
    294.48x = 439.83 × 270.24
  4. Step 4: Simplify right side
    294.48x = 118,859.66
  5. Step 5: Solve for x
    x = 118,859.66/294.48
  6. Step 6: Final answer
    x = 403.63

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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.