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Finding the Fourth Proportional to 659.43, 909.95 and 364.68

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Solution

The fourth proportional to 659.43, 909.95 and 364.68 is: 503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.43 : 909.95 = 364.68 : x
  2. Step 2: Convert to fraction form
    659.43/909.95 = 364.68/x
  3. Step 3: Cross multiply
    659.43x = 909.95 × 364.68
  4. Step 4: Simplify right side
    659.43x = 331,838.74
  5. Step 5: Solve for x
    x = 331,838.74/659.43
  6. Step 6: Final answer
    x = 503.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.