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Finding the Fourth Proportional to 659.35, 910.07 and 463.33

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Solution

The fourth proportional to 659.35, 910.07 and 463.33 is: 639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.35 : 910.07 = 463.33 : x
  2. Step 2: Convert to fraction form
    659.35/910.07 = 463.33/x
  3. Step 3: Cross multiply
    659.35x = 910.07 × 463.33
  4. Step 4: Simplify right side
    659.35x = 421,662.73
  5. Step 5: Solve for x
    x = 421,662.73/659.35
  6. Step 6: Final answer
    x = 639.51

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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.