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Finding the Fourth Proportional to 661.77, 992.27 and 387.28

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Solution

The fourth proportional to 661.77, 992.27 and 387.28 is: 580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.77 : 992.27 = 387.28 : x
  2. Step 2: Convert to fraction form
    661.77/992.27 = 387.28/x
  3. Step 3: Cross multiply
    661.77x = 992.27 × 387.28
  4. Step 4: Simplify right side
    661.77x = 384,285.95
  5. Step 5: Solve for x
    x = 384,285.95/661.77
  6. Step 6: Final answer
    x = 580.70

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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.