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Finding the Fourth Proportional to 614.53, 848.44 and 427.96

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Solution

The fourth proportional to 614.53, 848.44 and 427.96 is: 590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.53 : 848.44 = 427.96 : x
  2. Step 2: Convert to fraction form
    614.53/848.44 = 427.96/x
  3. Step 3: Cross multiply
    614.53x = 848.44 × 427.96
  4. Step 4: Simplify right side
    614.53x = 363,092.00
  5. Step 5: Solve for x
    x = 363,092.00/614.53
  6. Step 6: Final answer
    x = 590.85

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Why These Related Problems?

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