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Finding the Fourth Proportional to 407.40, 612.18 and 225.06

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Solution

The fourth proportional to 407.40, 612.18 and 225.06 is: 338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.40 : 612.18 = 225.06 : x
  2. Step 2: Convert to fraction form
    407.40/612.18 = 225.06/x
  3. Step 3: Cross multiply
    407.40x = 612.18 × 225.06
  4. Step 4: Simplify right side
    407.40x = 137,777.23
  5. Step 5: Solve for x
    x = 137,777.23/407.40
  6. Step 6: Final answer
    x = 338.19

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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.