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Finding the Fourth Proportional to 665.53, 997.81 and 314.01

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Solution

The fourth proportional to 665.53, 997.81 and 314.01 is: 470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.53 : 997.81 = 314.01 : x
  2. Step 2: Convert to fraction form
    665.53/997.81 = 314.01/x
  3. Step 3: Cross multiply
    665.53x = 997.81 × 314.01
  4. Step 4: Simplify right side
    665.53x = 313,322.32
  5. Step 5: Solve for x
    x = 313,322.32/665.53
  6. Step 6: Final answer
    x = 470.79

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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.