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Finding the Fourth Proportional to 659.39, 909.96 and 438.35

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Solution

The fourth proportional to 659.39, 909.96 and 438.35 is: 604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.39 : 909.96 = 438.35 : x
  2. Step 2: Convert to fraction form
    659.39/909.96 = 438.35/x
  3. Step 3: Cross multiply
    659.39x = 909.96 × 438.35
  4. Step 4: Simplify right side
    659.39x = 398,880.97
  5. Step 5: Solve for x
    x = 398,880.97/659.39
  6. Step 6: Final answer
    x = 604.92

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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.