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Finding the Fourth Proportional to 660.41, 992.02 and 417.12

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Solution

The fourth proportional to 660.41, 992.02 and 417.12 is: 626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.41 : 992.02 = 417.12 : x
  2. Step 2: Convert to fraction form
    660.41/992.02 = 417.12/x
  3. Step 3: Cross multiply
    660.41x = 992.02 × 417.12
  4. Step 4: Simplify right side
    660.41x = 413,791.38
  5. Step 5: Solve for x
    x = 413,791.38/660.41
  6. Step 6: Final answer
    x = 626.57

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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.