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Finding the Fourth Proportional to 660.62, 911.74 and 412.01

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Solution

The fourth proportional to 660.62, 911.74 and 412.01 is: 568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.62 : 911.74 = 412.01 : x
  2. Step 2: Convert to fraction form
    660.62/911.74 = 412.01/x
  3. Step 3: Cross multiply
    660.62x = 911.74 × 412.01
  4. Step 4: Simplify right side
    660.62x = 375,646.00
  5. Step 5: Solve for x
    x = 375,646.00/660.62
  6. Step 6: Final answer
    x = 568.63

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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.