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Finding the Fourth Proportional to 656.97, 906.56 and 362.16

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Solution

The fourth proportional to 656.97, 906.56 and 362.16 is: 499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.97 : 906.56 = 362.16 : x
  2. Step 2: Convert to fraction form
    656.97/906.56 = 362.16/x
  3. Step 3: Cross multiply
    656.97x = 906.56 × 362.16
  4. Step 4: Simplify right side
    656.97x = 328,317.96
  5. Step 5: Solve for x
    x = 328,317.96/656.97
  6. Step 6: Final answer
    x = 499.75

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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.