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Finding the Fourth Proportional to 664.10, 996.15 and 556.10

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Solution

The fourth proportional to 664.10, 996.15 and 556.10 is: 834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.10 : 996.15 = 556.10 : x
  2. Step 2: Convert to fraction form
    664.10/996.15 = 556.10/x
  3. Step 3: Cross multiply
    664.10x = 996.15 × 556.10
  4. Step 4: Simplify right side
    664.10x = 553,959.02
  5. Step 5: Solve for x
    x = 553,959.02/664.10
  6. Step 6: Final answer
    x = 834.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.