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Finding the Fourth Proportional to 659.86, 910.59 and 365.13

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Solution

The fourth proportional to 659.86, 910.59 and 365.13 is: 503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.86 : 910.59 = 365.13 : x
  2. Step 2: Convert to fraction form
    659.86/910.59 = 365.13/x
  3. Step 3: Cross multiply
    659.86x = 910.59 × 365.13
  4. Step 4: Simplify right side
    659.86x = 332,483.73
  5. Step 5: Solve for x
    x = 332,483.73/659.86
  6. Step 6: Final answer
    x = 503.87

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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.