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Finding the Fourth Proportional to 659.46, 910.06 and 397.53

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Solution

The fourth proportional to 659.46, 910.06 and 397.53 is: 548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.46 : 910.06 = 397.53 : x
  2. Step 2: Convert to fraction form
    659.46/910.06 = 397.53/x
  3. Step 3: Cross multiply
    659.46x = 910.06 × 397.53
  4. Step 4: Simplify right side
    659.46x = 361,774.16
  5. Step 5: Solve for x
    x = 361,774.16/659.46
  6. Step 6: Final answer
    x = 548.59

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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.