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Finding the Fourth Proportional to 657.48, 986.42 and 272.76

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Solution

The fourth proportional to 657.48, 986.42 and 272.76 is: 409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.48 : 986.42 = 272.76 : x
  2. Step 2: Convert to fraction form
    657.48/986.42 = 272.76/x
  3. Step 3: Cross multiply
    657.48x = 986.42 × 272.76
  4. Step 4: Simplify right side
    657.48x = 269,055.92
  5. Step 5: Solve for x
    x = 269,055.92/657.48
  6. Step 6: Final answer
    x = 409.22

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Why These Related Problems?

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