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Finding the Fourth Proportional to 614.52, 848 and 365.86

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Solution

The fourth proportional to 614.52, 848 and 365.86 is: 504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.52 : 848 = 365.86 : x
  2. Step 2: Convert to fraction form
    614.52/848 = 365.86/x
  3. Step 3: Cross multiply
    614.52x = 848 × 365.86
  4. Step 4: Simplify right side
    614.52x = 310,249.28
  5. Step 5: Solve for x
    x = 310,249.28/614.52
  6. Step 6: Final answer
    x = 504.86

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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.