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Finding the Fourth Proportional to 659.82, 910.49 and 410.95

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Solution

The fourth proportional to 659.82, 910.49 and 410.95 is: 567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.82 : 910.49 = 410.95 : x
  2. Step 2: Convert to fraction form
    659.82/910.49 = 410.95/x
  3. Step 3: Cross multiply
    659.82x = 910.49 × 410.95
  4. Step 4: Simplify right side
    659.82x = 374,165.87
  5. Step 5: Solve for x
    x = 374,165.87/659.82
  6. Step 6: Final answer
    x = 567.07

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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.