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Finding the Fourth Proportional to 334.92, 461.94 and 258.93

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Solution

The fourth proportional to 334.92, 461.94 and 258.93 is: 357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.92 : 461.94 = 258.93 : x
  2. Step 2: Convert to fraction form
    334.92/461.94 = 258.93/x
  3. Step 3: Cross multiply
    334.92x = 461.94 × 258.93
  4. Step 4: Simplify right side
    334.92x = 119,610.12
  5. Step 5: Solve for x
    x = 119,610.12/334.92
  6. Step 6: Final answer
    x = 357.13

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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.