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Finding the Fourth Proportional to 657.56, 987.02 and 365.50

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Solution

The fourth proportional to 657.56, 987.02 and 365.50 is: 548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.56 : 987.02 = 365.50 : x
  2. Step 2: Convert to fraction form
    657.56/987.02 = 365.50/x
  3. Step 3: Cross multiply
    657.56x = 987.02 × 365.50
  4. Step 4: Simplify right side
    657.56x = 360,755.81
  5. Step 5: Solve for x
    x = 360,755.81/657.56
  6. Step 6: Final answer
    x = 548.63

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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.