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Finding the Fourth Proportional to 407.40, 611.26 and 224.77

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Solution

The fourth proportional to 407.40, 611.26 and 224.77 is: 337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.40 : 611.26 = 224.77 : x
  2. Step 2: Convert to fraction form
    407.40/611.26 = 224.77/x
  3. Step 3: Cross multiply
    407.40x = 611.26 × 224.77
  4. Step 4: Simplify right side
    407.40x = 137,392.91
  5. Step 5: Solve for x
    x = 137,392.91/407.40
  6. Step 6: Final answer
    x = 337.24

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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.