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Finding the Fourth Proportional to 614.14, 923.22 and 569.04

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Solution

The fourth proportional to 614.14, 923.22 and 569.04 is: 855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.14 : 923.22 = 569.04 : x
  2. Step 2: Convert to fraction form
    614.14/923.22 = 569.04/x
  3. Step 3: Cross multiply
    614.14x = 923.22 × 569.04
  4. Step 4: Simplify right side
    614.14x = 525,349.11
  5. Step 5: Solve for x
    x = 525,349.11/614.14
  6. Step 6: Final answer
    x = 855.42

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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.