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Finding the Fourth Proportional to 657.51, 985.24 and 349.28

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Solution

The fourth proportional to 657.51, 985.24 and 349.28 is: 523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.51 : 985.24 = 349.28 : x
  2. Step 2: Convert to fraction form
    657.51/985.24 = 349.28/x
  3. Step 3: Cross multiply
    657.51x = 985.24 × 349.28
  4. Step 4: Simplify right side
    657.51x = 344,124.63
  5. Step 5: Solve for x
    x = 344,124.63/657.51
  6. Step 6: Final answer
    x = 523.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.