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Finding the Fourth Proportional to 665.72, 917.97 and 416.74

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Solution

The fourth proportional to 665.72, 917.97 and 416.74 is: 574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.72 : 917.97 = 416.74 : x
  2. Step 2: Convert to fraction form
    665.72/917.97 = 416.74/x
  3. Step 3: Cross multiply
    665.72x = 917.97 × 416.74
  4. Step 4: Simplify right side
    665.72x = 382,552.73
  5. Step 5: Solve for x
    x = 382,552.73/665.72
  6. Step 6: Final answer
    x = 574.65

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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.