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Finding the Fourth Proportional to 656.69, 906.39 and 408.08

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Solution

The fourth proportional to 656.69, 906.39 and 408.08 is: 563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.69 : 906.39 = 408.08 : x
  2. Step 2: Convert to fraction form
    656.69/906.39 = 408.08/x
  3. Step 3: Cross multiply
    656.69x = 906.39 × 408.08
  4. Step 4: Simplify right side
    656.69x = 369,881.90
  5. Step 5: Solve for x
    x = 369,881.90/656.69
  6. Step 6: Final answer
    x = 563.26

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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.