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Finding the Fourth Proportional to 614.16, 919.76 and 397.12

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Solution

The fourth proportional to 614.16, 919.76 and 397.12 is: 594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.16 : 919.76 = 397.12 : x
  2. Step 2: Convert to fraction form
    614.16/919.76 = 397.12/x
  3. Step 3: Cross multiply
    614.16x = 919.76 × 397.12
  4. Step 4: Simplify right side
    614.16x = 365,255.09
  5. Step 5: Solve for x
    x = 365,255.09/614.16
  6. Step 6: Final answer
    x = 594.72

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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.