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Finding the Fourth Proportional to 614.15, 921.44 and 289.54

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Solution

The fourth proportional to 614.15, 921.44 and 289.54 is: 434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.15 : 921.44 = 289.54 : x
  2. Step 2: Convert to fraction form
    614.15/921.44 = 289.54/x
  3. Step 3: Cross multiply
    614.15x = 921.44 × 289.54
  4. Step 4: Simplify right side
    614.15x = 266,792.29
  5. Step 5: Solve for x
    x = 266,792.29/614.15
  6. Step 6: Final answer
    x = 434.41

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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.