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Finding the Fourth Proportional to 331.95, 497.87 and 315.49

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Solution

The fourth proportional to 331.95, 497.87 and 315.49 is: 473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.95 : 497.87 = 315.49 : x
  2. Step 2: Convert to fraction form
    331.95/497.87 = 315.49/x
  3. Step 3: Cross multiply
    331.95x = 497.87 × 315.49
  4. Step 4: Simplify right side
    331.95x = 157,071.12
  5. Step 5: Solve for x
    x = 157,071.12/331.95
  6. Step 6: Final answer
    x = 473.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.