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Finding the Fourth Proportional to 657.41, 986.16 and 292.13

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Solution

The fourth proportional to 657.41, 986.16 and 292.13 is: 438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.41 : 986.16 = 292.13 : x
  2. Step 2: Convert to fraction form
    657.41/986.16 = 292.13/x
  3. Step 3: Cross multiply
    657.41x = 986.16 × 292.13
  4. Step 4: Simplify right side
    657.41x = 288,086.92
  5. Step 5: Solve for x
    x = 288,086.92/657.41
  6. Step 6: Final answer
    x = 438.22

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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.