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Finding the Fourth Proportional to 362.62, 497.16 and 356.05

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Solution

The fourth proportional to 362.62, 497.16 and 356.05 is: 488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.62 : 497.16 = 356.05 : x
  2. Step 2: Convert to fraction form
    362.62/497.16 = 356.05/x
  3. Step 3: Cross multiply
    362.62x = 497.16 × 356.05
  4. Step 4: Simplify right side
    362.62x = 177,013.82
  5. Step 5: Solve for x
    x = 177,013.82/362.62
  6. Step 6: Final answer
    x = 488.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.