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Finding the Fourth Proportional to 353.25, 488.40 and 337.95

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Solution

The fourth proportional to 353.25, 488.40 and 337.95 is: 467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.25 : 488.40 = 337.95 : x
  2. Step 2: Convert to fraction form
    353.25/488.40 = 337.95/x
  3. Step 3: Cross multiply
    353.25x = 488.40 × 337.95
  4. Step 4: Simplify right side
    353.25x = 165,053.51
  5. Step 5: Solve for x
    x = 165,053.51/353.25
  6. Step 6: Final answer
    x = 467.24

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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.