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Finding the Fourth Proportional to 656.74, 906.37 and 362.01

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Solution

The fourth proportional to 656.74, 906.37 and 362.01 is: 499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.74 : 906.37 = 362.01 : x
  2. Step 2: Convert to fraction form
    656.74/906.37 = 362.01/x
  3. Step 3: Cross multiply
    656.74x = 906.37 × 362.01
  4. Step 4: Simplify right side
    656.74x = 328,112.11
  5. Step 5: Solve for x
    x = 328,112.11/656.74
  6. Step 6: Final answer
    x = 499.61

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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.