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Finding the Fourth Proportional to 659.77, 910.39 and 365.05

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Solution

The fourth proportional to 659.77, 910.39 and 365.05 is: 503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.77 : 910.39 = 365.05 : x
  2. Step 2: Convert to fraction form
    659.77/910.39 = 365.05/x
  3. Step 3: Cross multiply
    659.77x = 910.39 × 365.05
  4. Step 4: Simplify right side
    659.77x = 332,336.04
  5. Step 5: Solve for x
    x = 332,336.04/659.77
  6. Step 6: Final answer
    x = 503.71

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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.