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Finding the Fourth Proportional to 614.78, 848.82 and 427.94

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Solution

The fourth proportional to 614.78, 848.82 and 427.94 is: 590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.78 : 848.82 = 427.94 : x
  2. Step 2: Convert to fraction form
    614.78/848.82 = 427.94/x
  3. Step 3: Cross multiply
    614.78x = 848.82 × 427.94
  4. Step 4: Simplify right side
    614.78x = 363,244.03
  5. Step 5: Solve for x
    x = 363,244.03/614.78
  6. Step 6: Final answer
    x = 590.85

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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.