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Finding the Fourth Proportional to 664.71, 917.33 and 416

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Solution

The fourth proportional to 664.71, 917.33 and 416 is: 574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.71 : 917.33 = 416 : x
  2. Step 2: Convert to fraction form
    664.71/917.33 = 416/x
  3. Step 3: Cross multiply
    664.71x = 917.33 × 416
  4. Step 4: Simplify right side
    664.71x = 381,607.20
  5. Step 5: Solve for x
    x = 381,607.20/664.71
  6. Step 6: Final answer
    x = 574.10

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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.