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Finding the Fourth Proportional to 659.42, 909.77 and 423.35

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Solution

The fourth proportional to 659.42, 909.77 and 423.35 is: 584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.42 : 909.77 = 423.35 : x
  2. Step 2: Convert to fraction form
    659.42/909.77 = 423.35/x
  3. Step 3: Cross multiply
    659.42x = 909.77 × 423.35
  4. Step 4: Simplify right side
    659.42x = 385,147.88
  5. Step 5: Solve for x
    x = 385,147.88/659.42
  6. Step 6: Final answer
    x = 584.07

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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.