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Finding the Fourth Proportional to 337.64, 465.83 and 258.97

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Solution

The fourth proportional to 337.64, 465.83 and 258.97 is: 357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.64 : 465.83 = 258.97 : x
  2. Step 2: Convert to fraction form
    337.64/465.83 = 258.97/x
  3. Step 3: Cross multiply
    337.64x = 465.83 × 258.97
  4. Step 4: Simplify right side
    337.64x = 120,636.00
  5. Step 5: Solve for x
    x = 120,636.00/337.64
  6. Step 6: Final answer
    x = 357.29

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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.