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Finding the Fourth Proportional to 659.19, 909.70 and 364.47

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Solution

The fourth proportional to 659.19, 909.70 and 364.47 is: 502.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.19 : 909.70 = 364.47 : x
  2. Step 2: Convert to fraction form
    659.19/909.70 = 364.47/x
  3. Step 3: Cross multiply
    659.19x = 909.70 × 364.47
  4. Step 4: Simplify right side
    659.19x = 331,554.04
  5. Step 5: Solve for x
    x = 331,554.04/659.19
  6. Step 6: Final answer
    x = 502.97

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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.