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Finding the Fourth Proportional to 337.80, 465.84 and 290.52

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Solution

The fourth proportional to 337.80, 465.84 and 290.52 is: 400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.80 : 465.84 = 290.52 : x
  2. Step 2: Convert to fraction form
    337.80/465.84 = 290.52/x
  3. Step 3: Cross multiply
    337.80x = 465.84 × 290.52
  4. Step 4: Simplify right side
    337.80x = 135,335.84
  5. Step 5: Solve for x
    x = 135,335.84/337.80
  6. Step 6: Final answer
    x = 400.64

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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.