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Finding the Fourth Proportional to 659.97, 910.73 and 380.21

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Solution

The fourth proportional to 659.97, 910.73 and 380.21 is: 524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.97 : 910.73 = 380.21 : x
  2. Step 2: Convert to fraction form
    659.97/910.73 = 380.21/x
  3. Step 3: Cross multiply
    659.97x = 910.73 × 380.21
  4. Step 4: Simplify right side
    659.97x = 346,262.20
  5. Step 5: Solve for x
    x = 346,262.20/659.97
  6. Step 6: Final answer
    x = 524.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.