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Finding the Fourth Proportional to 337.09, 465.56 and 258.52

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Solution

The fourth proportional to 337.09, 465.56 and 258.52 is: 357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.09 : 465.56 = 258.52 : x
  2. Step 2: Convert to fraction form
    337.09/465.56 = 258.52/x
  3. Step 3: Cross multiply
    337.09x = 465.56 × 258.52
  4. Step 4: Simplify right side
    337.09x = 120,356.57
  5. Step 5: Solve for x
    x = 120,356.57/337.09
  6. Step 6: Final answer
    x = 357.05

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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.