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Finding the Fourth Proportional to 407.64, 610.14 and 224.58

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Solution

The fourth proportional to 407.64, 610.14 and 224.58 is: 336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.64 : 610.14 = 224.58 : x
  2. Step 2: Convert to fraction form
    407.64/610.14 = 224.58/x
  3. Step 3: Cross multiply
    407.64x = 610.14 × 224.58
  4. Step 4: Simplify right side
    407.64x = 137,025.24
  5. Step 5: Solve for x
    x = 137,025.24/407.64
  6. Step 6: Final answer
    x = 336.14

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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.