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Finding the Fourth Proportional to 614.00, 921.38 and 289.40

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Solution

The fourth proportional to 614.00, 921.38 and 289.40 is: 434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.00 : 921.38 = 289.40 : x
  2. Step 2: Convert to fraction form
    614.00/921.38 = 289.40/x
  3. Step 3: Cross multiply
    614.00x = 921.38 × 289.40
  4. Step 4: Simplify right side
    614.00x = 266,641.32
  5. Step 5: Solve for x
    x = 266,641.32/614.00
  6. Step 6: Final answer
    x = 434.27

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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.