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Finding the Fourth Proportional to 659.79, 911.52 and 438.66

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Solution

The fourth proportional to 659.79, 911.52 and 438.66 is: 606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.79 : 911.52 = 438.66 : x
  2. Step 2: Convert to fraction form
    659.79/911.52 = 438.66/x
  3. Step 3: Cross multiply
    659.79x = 911.52 × 438.66
  4. Step 4: Simplify right side
    659.79x = 399,847.36
  5. Step 5: Solve for x
    x = 399,847.36/659.79
  6. Step 6: Final answer
    x = 606.02

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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.