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Finding the Fourth Proportional to 614.37, 922.13 and 340.08

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Solution

The fourth proportional to 614.37, 922.13 and 340.08 is: 510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.37 : 922.13 = 340.08 : x
  2. Step 2: Convert to fraction form
    614.37/922.13 = 340.08/x
  3. Step 3: Cross multiply
    614.37x = 922.13 × 340.08
  4. Step 4: Simplify right side
    614.37x = 313,596.27
  5. Step 5: Solve for x
    x = 313,596.27/614.37
  6. Step 6: Final answer
    x = 510.44

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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.