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Finding the Fourth Proportional to 657.96, 986.65 and 349.75

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Solution

The fourth proportional to 657.96, 986.65 and 349.75 is: 524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.96 : 986.65 = 349.75 : x
  2. Step 2: Convert to fraction form
    657.96/986.65 = 349.75/x
  3. Step 3: Cross multiply
    657.96x = 986.65 × 349.75
  4. Step 4: Simplify right side
    657.96x = 345,080.84
  5. Step 5: Solve for x
    x = 345,080.84/657.96
  6. Step 6: Final answer
    x = 524.47

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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.