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Finding the Fourth Proportional to 659.34, 909.85 and 364.59

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Solution

The fourth proportional to 659.34, 909.85 and 364.59 is: 503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.34 : 909.85 = 364.59 : x
  2. Step 2: Convert to fraction form
    659.34/909.85 = 364.59/x
  3. Step 3: Cross multiply
    659.34x = 909.85 × 364.59
  4. Step 4: Simplify right side
    659.34x = 331,722.21
  5. Step 5: Solve for x
    x = 331,722.21/659.34
  6. Step 6: Final answer
    x = 503.11

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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.