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Finding the Fourth Proportional to 614.63, 922.17 and 203.75

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Solution

The fourth proportional to 614.63, 922.17 and 203.75 is: 305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.63 : 922.17 = 203.75 : x
  2. Step 2: Convert to fraction form
    614.63/922.17 = 203.75/x
  3. Step 3: Cross multiply
    614.63x = 922.17 × 203.75
  4. Step 4: Simplify right side
    614.63x = 187,887.53
  5. Step 5: Solve for x
    x = 187,887.53/614.63
  6. Step 6: Final answer
    x = 305.69

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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.