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Finding the Fourth Proportional to 614.49, 922.78 and 410.37

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Solution

The fourth proportional to 614.49, 922.78 and 410.37 is: 616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.49 : 922.78 = 410.37 : x
  2. Step 2: Convert to fraction form
    614.49/922.78 = 410.37/x
  3. Step 3: Cross multiply
    614.49x = 922.78 × 410.37
  4. Step 4: Simplify right side
    614.49x = 378,681.23
  5. Step 5: Solve for x
    x = 378,681.23/614.49
  6. Step 6: Final answer
    x = 616.25

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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.