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Finding the Fourth Proportional to 659.06, 909.43 and 364.29

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Solution

The fourth proportional to 659.06, 909.43 and 364.29 is: 502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.06 : 909.43 = 364.29 : x
  2. Step 2: Convert to fraction form
    659.06/909.43 = 364.29/x
  3. Step 3: Cross multiply
    659.06x = 909.43 × 364.29
  4. Step 4: Simplify right side
    659.06x = 331,295.34
  5. Step 5: Solve for x
    x = 331,295.34/659.06
  6. Step 6: Final answer
    x = 502.68

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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.