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Finding the Fourth Proportional to 659.42, 910.08 and 379.70

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Solution

The fourth proportional to 659.42, 910.08 and 379.70 is: 524.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.42 : 910.08 = 379.70 : x
  2. Step 2: Convert to fraction form
    659.42/910.08 = 379.70/x
  3. Step 3: Cross multiply
    659.42x = 910.08 × 379.70
  4. Step 4: Simplify right side
    659.42x = 345,557.38
  5. Step 5: Solve for x
    x = 345,557.38/659.42
  6. Step 6: Final answer
    x = 524.03

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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.