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Finding the Fourth Proportional to 659.69, 910.42 and 411.02

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Solution

The fourth proportional to 659.69, 910.42 and 411.02 is: 567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.69 : 910.42 = 411.02 : x
  2. Step 2: Convert to fraction form
    659.69/910.42 = 411.02/x
  3. Step 3: Cross multiply
    659.69x = 910.42 × 411.02
  4. Step 4: Simplify right side
    659.69x = 374,200.83
  5. Step 5: Solve for x
    x = 374,200.83/659.69
  6. Step 6: Final answer
    x = 567.24

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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.