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Finding the Fourth Proportional to 332.58, 458.66 and 226.40

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Solution

The fourth proportional to 332.58, 458.66 and 226.40 is: 312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.58 : 458.66 = 226.40 : x
  2. Step 2: Convert to fraction form
    332.58/458.66 = 226.40/x
  3. Step 3: Cross multiply
    332.58x = 458.66 × 226.40
  4. Step 4: Simplify right side
    332.58x = 103,840.62
  5. Step 5: Solve for x
    x = 103,840.62/332.58
  6. Step 6: Final answer
    x = 312.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.