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Finding the Fourth Proportional to 659.36, 910.32 and 410.96

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Solution

The fourth proportional to 659.36, 910.32 and 410.96 is: 567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.36 : 910.32 = 410.96 : x
  2. Step 2: Convert to fraction form
    659.36/910.32 = 410.96/x
  3. Step 3: Cross multiply
    659.36x = 910.32 × 410.96
  4. Step 4: Simplify right side
    659.36x = 374,105.11
  5. Step 5: Solve for x
    x = 374,105.11/659.36
  6. Step 6: Final answer
    x = 567.38

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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.