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Finding the Fourth Proportional to 614.16, 921.34 and 289.56

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Solution

The fourth proportional to 614.16, 921.34 and 289.56 is: 434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.16 : 921.34 = 289.56 : x
  2. Step 2: Convert to fraction form
    614.16/921.34 = 289.56/x
  3. Step 3: Cross multiply
    614.16x = 921.34 × 289.56
  4. Step 4: Simplify right side
    614.16x = 266,783.21
  5. Step 5: Solve for x
    x = 266,783.21/614.16
  6. Step 6: Final answer
    x = 434.39

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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.