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Finding the Fourth Proportional to 659.14, 909.56 and 364.42

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Solution

The fourth proportional to 659.14, 909.56 and 364.42 is: 502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.14 : 909.56 = 364.42 : x
  2. Step 2: Convert to fraction form
    659.14/909.56 = 364.42/x
  3. Step 3: Cross multiply
    659.14x = 909.56 × 364.42
  4. Step 4: Simplify right side
    659.14x = 331,461.86
  5. Step 5: Solve for x
    x = 331,461.86/659.14
  6. Step 6: Final answer
    x = 502.87

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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.