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Finding the Fourth Proportional to 665.07, 917.57 and 444.17

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Solution

The fourth proportional to 665.07, 917.57 and 444.17 is: 612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.07 : 917.57 = 444.17 : x
  2. Step 2: Convert to fraction form
    665.07/917.57 = 444.17/x
  3. Step 3: Cross multiply
    665.07x = 917.57 × 444.17
  4. Step 4: Simplify right side
    665.07x = 407,553.59
  5. Step 5: Solve for x
    x = 407,553.59/665.07
  6. Step 6: Final answer
    x = 612.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.