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Finding the Fourth Proportional to 659.30, 909.36 and 423.32

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Solution

The fourth proportional to 659.30, 909.36 and 423.32 is: 583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.30 : 909.36 = 423.32 : x
  2. Step 2: Convert to fraction form
    659.30/909.36 = 423.32/x
  3. Step 3: Cross multiply
    659.30x = 909.36 × 423.32
  4. Step 4: Simplify right side
    659.30x = 384,945.73
  5. Step 5: Solve for x
    x = 384,945.73/659.30
  6. Step 6: Final answer
    x = 583.87

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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.