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Finding the Fourth Proportional to 659.13, 909.90 and 463.38

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Solution

The fourth proportional to 659.13, 909.90 and 463.38 is: 639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.13 : 909.90 = 463.38 : x
  2. Step 2: Convert to fraction form
    659.13/909.90 = 463.38/x
  3. Step 3: Cross multiply
    659.13x = 909.90 × 463.38
  4. Step 4: Simplify right side
    659.13x = 421,629.46
  5. Step 5: Solve for x
    x = 421,629.46/659.13
  6. Step 6: Final answer
    x = 639.68

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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.