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Finding the Fourth Proportional to 293.40, 439.80 and 228.24

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Solution

The fourth proportional to 293.40, 439.80 and 228.24 is: 342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.40 : 439.80 = 228.24 : x
  2. Step 2: Convert to fraction form
    293.40/439.80 = 228.24/x
  3. Step 3: Cross multiply
    293.40x = 439.80 × 228.24
  4. Step 4: Simplify right side
    293.40x = 100,379.95
  5. Step 5: Solve for x
    x = 100,379.95/293.40
  6. Step 6: Final answer
    x = 342.13

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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.