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Finding the Fourth Proportional to 659.82, 910.74 and 380.22

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Solution

The fourth proportional to 659.82, 910.74 and 380.22 is: 524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.82 : 910.74 = 380.22 : x
  2. Step 2: Convert to fraction form
    659.82/910.74 = 380.22/x
  3. Step 3: Cross multiply
    659.82x = 910.74 × 380.22
  4. Step 4: Simplify right side
    659.82x = 346,281.56
  5. Step 5: Solve for x
    x = 346,281.56/659.82
  6. Step 6: Final answer
    x = 524.81

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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.