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Finding the Fourth Proportional to 661.52, 992.27 and 277.04

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Solution

The fourth proportional to 661.52, 992.27 and 277.04 is: 415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.52 : 992.27 = 277.04 : x
  2. Step 2: Convert to fraction form
    661.52/992.27 = 277.04/x
  3. Step 3: Cross multiply
    661.52x = 992.27 × 277.04
  4. Step 4: Simplify right side
    661.52x = 274,894.21
  5. Step 5: Solve for x
    x = 274,894.21/661.52
  6. Step 6: Final answer
    x = 415.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.