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Finding the Fourth Proportional to 659.26, 910.20 and 463.24

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Solution

The fourth proportional to 659.26, 910.20 and 463.24 is: 639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.26 : 910.20 = 463.24 : x
  2. Step 2: Convert to fraction form
    659.26/910.20 = 463.24/x
  3. Step 3: Cross multiply
    659.26x = 910.20 × 463.24
  4. Step 4: Simplify right side
    659.26x = 421,641.05
  5. Step 5: Solve for x
    x = 421,641.05/659.26
  6. Step 6: Final answer
    x = 639.57

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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.