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Finding the Fourth Proportional to 614.10, 920.26 and 285.14

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Solution

The fourth proportional to 614.10, 920.26 and 285.14 is: 427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.10 : 920.26 = 285.14 : x
  2. Step 2: Convert to fraction form
    614.10/920.26 = 285.14/x
  3. Step 3: Cross multiply
    614.10x = 920.26 × 285.14
  4. Step 4: Simplify right side
    614.10x = 262,402.94
  5. Step 5: Solve for x
    x = 262,402.94/614.10
  6. Step 6: Final answer
    x = 427.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.