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Finding the Fourth Proportional to 332.26, 458.34 and 207.94

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Solution

The fourth proportional to 332.26, 458.34 and 207.94 is: 286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.26 : 458.34 = 207.94 : x
  2. Step 2: Convert to fraction form
    332.26/458.34 = 207.94/x
  3. Step 3: Cross multiply
    332.26x = 458.34 × 207.94
  4. Step 4: Simplify right side
    332.26x = 95,307.22
  5. Step 5: Solve for x
    x = 95,307.22/332.26
  6. Step 6: Final answer
    x = 286.85

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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.