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Finding the Fourth Proportional to 659.52, 910.16 and 364.78

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Solution

The fourth proportional to 659.52, 910.16 and 364.78 is: 503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.52 : 910.16 = 364.78 : x
  2. Step 2: Convert to fraction form
    659.52/910.16 = 364.78/x
  3. Step 3: Cross multiply
    659.52x = 910.16 × 364.78
  4. Step 4: Simplify right side
    659.52x = 332,008.16
  5. Step 5: Solve for x
    x = 332,008.16/659.52
  6. Step 6: Final answer
    x = 503.41

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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.