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Finding the Fourth Proportional to 659.59, 910.14 and 364.80

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Solution

The fourth proportional to 659.59, 910.14 and 364.80 is: 503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.59 : 910.14 = 364.80 : x
  2. Step 2: Convert to fraction form
    659.59/910.14 = 364.80/x
  3. Step 3: Cross multiply
    659.59x = 910.14 × 364.80
  4. Step 4: Simplify right side
    659.59x = 332,019.07
  5. Step 5: Solve for x
    x = 332,019.07/659.59
  6. Step 6: Final answer
    x = 503.37

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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.