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Finding the Fourth Proportional to 614.14, 919.86 and 476.10

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Solution

The fourth proportional to 614.14, 919.86 and 476.10 is: 713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.14 : 919.86 = 476.10 : x
  2. Step 2: Convert to fraction form
    614.14/919.86 = 476.10/x
  3. Step 3: Cross multiply
    614.14x = 919.86 × 476.10
  4. Step 4: Simplify right side
    614.14x = 437,943.56
  5. Step 5: Solve for x
    x = 437,943.56/614.14
  6. Step 6: Final answer
    x = 713.10

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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.