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Finding the Fourth Proportional to 665.75, 998.95 and 472.00

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Solution

The fourth proportional to 665.75, 998.95 and 472.00 is: 708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.75 : 998.95 = 472.00 : x
  2. Step 2: Convert to fraction form
    665.75/998.95 = 472.00/x
  3. Step 3: Cross multiply
    665.75x = 998.95 × 472.00
  4. Step 4: Simplify right side
    665.75x = 471,506.29
  5. Step 5: Solve for x
    x = 471,506.29/665.75
  6. Step 6: Final answer
    x = 708.23

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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.