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Finding the Fourth Proportional to 614.16, 921.42 and 289.71

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Solution

The fourth proportional to 614.16, 921.42 and 289.71 is: 434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.16 : 921.42 = 289.71 : x
  2. Step 2: Convert to fraction form
    614.16/921.42 = 289.71/x
  3. Step 3: Cross multiply
    614.16x = 921.42 × 289.71
  4. Step 4: Simplify right side
    614.16x = 266,944.59
  5. Step 5: Solve for x
    x = 266,944.59/614.16
  6. Step 6: Final answer
    x = 434.65

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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.