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Finding the Fourth Proportional to 332.22, 458.70 and 258.42

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Solution

The fourth proportional to 332.22, 458.70 and 258.42 is: 356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.22 : 458.70 = 258.42 : x
  2. Step 2: Convert to fraction form
    332.22/458.70 = 258.42/x
  3. Step 3: Cross multiply
    332.22x = 458.70 × 258.42
  4. Step 4: Simplify right side
    332.22x = 118,537.25
  5. Step 5: Solve for x
    x = 118,537.25/332.22
  6. Step 6: Final answer
    x = 356.80

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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.