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Finding the Fourth Proportional to 665.02, 917.67 and 416.41

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Solution

The fourth proportional to 665.02, 917.67 and 416.41 is: 574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.02 : 917.67 = 416.41 : x
  2. Step 2: Convert to fraction form
    665.02/917.67 = 416.41/x
  3. Step 3: Cross multiply
    665.02x = 917.67 × 416.41
  4. Step 4: Simplify right side
    665.02x = 382,126.96
  5. Step 5: Solve for x
    x = 382,126.96/665.02
  6. Step 6: Final answer
    x = 574.61

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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.