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Finding the Fourth Proportional to 659.70, 910.10 and 397.57

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Solution

The fourth proportional to 659.70, 910.10 and 397.57 is: 548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.70 : 910.10 = 397.57 : x
  2. Step 2: Convert to fraction form
    659.70/910.10 = 397.57/x
  3. Step 3: Cross multiply
    659.70x = 910.10 × 397.57
  4. Step 4: Simplify right side
    659.70x = 361,823.91
  5. Step 5: Solve for x
    x = 361,823.91/659.70
  6. Step 6: Final answer
    x = 548.47

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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.