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Finding the Fourth Proportional to 664.47, 917.33 and 416.00

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Solution

The fourth proportional to 664.47, 917.33 and 416.00 is: 574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.47 : 917.33 = 416.00 : x
  2. Step 2: Convert to fraction form
    664.47/917.33 = 416.00/x
  3. Step 3: Cross multiply
    664.47x = 917.33 × 416.00
  4. Step 4: Simplify right side
    664.47x = 381,609.49
  5. Step 5: Solve for x
    x = 381,609.49/664.47
  6. Step 6: Final answer
    x = 574.31

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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.