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Finding the Fourth Proportional to 614.90, 923.03 and 341.26

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Solution

The fourth proportional to 614.90, 923.03 and 341.26 is: 512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.90 : 923.03 = 341.26 : x
  2. Step 2: Convert to fraction form
    614.90/923.03 = 341.26/x
  3. Step 3: Cross multiply
    614.90x = 923.03 × 341.26
  4. Step 4: Simplify right side
    614.90x = 314,993.22
  5. Step 5: Solve for x
    x = 314,993.22/614.90
  6. Step 6: Final answer
    x = 512.27

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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.