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Finding the Fourth Proportional to 657.09, 906.81 and 362.37

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Solution

The fourth proportional to 657.09, 906.81 and 362.37 is: 500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.09 : 906.81 = 362.37 : x
  2. Step 2: Convert to fraction form
    657.09/906.81 = 362.37/x
  3. Step 3: Cross multiply
    657.09x = 906.81 × 362.37
  4. Step 4: Simplify right side
    657.09x = 328,600.74
  5. Step 5: Solve for x
    x = 328,600.74/657.09
  6. Step 6: Final answer
    x = 500.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.