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Finding the Fourth Proportional to 660.86, 911.86 and 424.44

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Solution

The fourth proportional to 660.86, 911.86 and 424.44 is: 585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.86 : 911.86 = 424.44 : x
  2. Step 2: Convert to fraction form
    660.86/911.86 = 424.44/x
  3. Step 3: Cross multiply
    660.86x = 911.86 × 424.44
  4. Step 4: Simplify right side
    660.86x = 387,028.80
  5. Step 5: Solve for x
    x = 387,028.80/660.86
  6. Step 6: Final answer
    x = 585.65

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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.