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Finding the Fourth Proportional to 614.04, 920.97 and 284.97

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Solution

The fourth proportional to 614.04, 920.97 and 284.97 is: 427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.04 : 920.97 = 284.97 : x
  2. Step 2: Convert to fraction form
    614.04/920.97 = 284.97/x
  3. Step 3: Cross multiply
    614.04x = 920.97 × 284.97
  4. Step 4: Simplify right side
    614.04x = 262,448.82
  5. Step 5: Solve for x
    x = 262,448.82/614.04
  6. Step 6: Final answer
    x = 427.41

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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.