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Finding the Fourth Proportional to 662.66, 993.99 and 457.17

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Solution

The fourth proportional to 662.66, 993.99 and 457.17 is: 685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.66 : 993.99 = 457.17 : x
  2. Step 2: Convert to fraction form
    662.66/993.99 = 457.17/x
  3. Step 3: Cross multiply
    662.66x = 993.99 × 457.17
  4. Step 4: Simplify right side
    662.66x = 454,420.40
  5. Step 5: Solve for x
    x = 454,420.40/662.66
  6. Step 6: Final answer
    x = 685.75

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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.