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Finding the Fourth Proportional to 659.91, 910.71 and 380.19

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Solution

The fourth proportional to 659.91, 910.71 and 380.19 is: 524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.91 : 910.71 = 380.19 : x
  2. Step 2: Convert to fraction form
    659.91/910.71 = 380.19/x
  3. Step 3: Cross multiply
    659.91x = 910.71 × 380.19
  4. Step 4: Simplify right side
    659.91x = 346,247.68
  5. Step 5: Solve for x
    x = 346,247.68/659.91
  6. Step 6: Final answer
    x = 524.69

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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.