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Finding the Fourth Proportional to 664.88, 917.38 and 402.84

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Solution

The fourth proportional to 664.88, 917.38 and 402.84 is: 555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.88 : 917.38 = 402.84 : x
  2. Step 2: Convert to fraction form
    664.88/917.38 = 402.84/x
  3. Step 3: Cross multiply
    664.88x = 917.38 × 402.84
  4. Step 4: Simplify right side
    664.88x = 369,557.36
  5. Step 5: Solve for x
    x = 369,557.36/664.88
  6. Step 6: Final answer
    x = 555.83

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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.