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Finding the Fourth Proportional to 614.28, 848 and 428.40

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Solution

The fourth proportional to 614.28, 848 and 428.40 is: 591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.28 : 848 = 428.40 : x
  2. Step 2: Convert to fraction form
    614.28/848 = 428.40/x
  3. Step 3: Cross multiply
    614.28x = 848 × 428.40
  4. Step 4: Simplify right side
    614.28x = 363,283.20
  5. Step 5: Solve for x
    x = 363,283.20/614.28
  6. Step 6: Final answer
    x = 591.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.