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Finding the Fourth Proportional to 661.13, 990.99 and 314.25

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Solution

The fourth proportional to 661.13, 990.99 and 314.25 is: 471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.13 : 990.99 = 314.25 : x
  2. Step 2: Convert to fraction form
    661.13/990.99 = 314.25/x
  3. Step 3: Cross multiply
    661.13x = 990.99 × 314.25
  4. Step 4: Simplify right side
    661.13x = 311,418.61
  5. Step 5: Solve for x
    x = 311,418.61/661.13
  6. Step 6: Final answer
    x = 471.04

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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.