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Finding the Fourth Proportional to 657.18, 906.96 and 362.51

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Solution

The fourth proportional to 657.18, 906.96 and 362.51 is: 500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.18 : 906.96 = 362.51 : x
  2. Step 2: Convert to fraction form
    657.18/906.96 = 362.51/x
  3. Step 3: Cross multiply
    657.18x = 906.96 × 362.51
  4. Step 4: Simplify right side
    657.18x = 328,782.30
  5. Step 5: Solve for x
    x = 328,782.30/657.18
  6. Step 6: Final answer
    x = 500.29

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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.