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Finding the Fourth Proportional to 614.50, 922.32 and 382.70

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Solution

The fourth proportional to 614.50, 922.32 and 382.70 is: 574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.50 : 922.32 = 382.70 : x
  2. Step 2: Convert to fraction form
    614.50/922.32 = 382.70/x
  3. Step 3: Cross multiply
    614.50x = 922.32 × 382.70
  4. Step 4: Simplify right side
    614.50x = 352,971.86
  5. Step 5: Solve for x
    x = 352,971.86/614.50
  6. Step 6: Final answer
    x = 574.40

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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.