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Finding the Fourth Proportional to 659.16, 909.63 and 364.42

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Solution

The fourth proportional to 659.16, 909.63 and 364.42 is: 502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.16 : 909.63 = 364.42 : x
  2. Step 2: Convert to fraction form
    659.16/909.63 = 364.42/x
  3. Step 3: Cross multiply
    659.16x = 909.63 × 364.42
  4. Step 4: Simplify right side
    659.16x = 331,487.36
  5. Step 5: Solve for x
    x = 331,487.36/659.16
  6. Step 6: Final answer
    x = 502.89

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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.