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Finding the Fourth Proportional to 660.48, 911.52 and 398.64

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Solution

The fourth proportional to 660.48, 911.52 and 398.64 is: 550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.48 : 911.52 = 398.64 : x
  2. Step 2: Convert to fraction form
    660.48/911.52 = 398.64/x
  3. Step 3: Cross multiply
    660.48x = 911.52 × 398.64
  4. Step 4: Simplify right side
    660.48x = 363,368.33
  5. Step 5: Solve for x
    x = 363,368.33/660.48
  6. Step 6: Final answer
    x = 550.16

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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.