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Finding the Fourth Proportional to 656.82, 906.34 and 362.06

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Solution

The fourth proportional to 656.82, 906.34 and 362.06 is: 499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.82 : 906.34 = 362.06 : x
  2. Step 2: Convert to fraction form
    656.82/906.34 = 362.06/x
  3. Step 3: Cross multiply
    656.82x = 906.34 × 362.06
  4. Step 4: Simplify right side
    656.82x = 328,149.46
  5. Step 5: Solve for x
    x = 328,149.46/656.82
  6. Step 6: Final answer
    x = 499.60

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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.