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Finding the Fourth Proportional to 614.70, 848.34 and 365.90

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Solution

The fourth proportional to 614.70, 848.34 and 365.90 is: 504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.70 : 848.34 = 365.90 : x
  2. Step 2: Convert to fraction form
    614.70/848.34 = 365.90/x
  3. Step 3: Cross multiply
    614.70x = 848.34 × 365.90
  4. Step 4: Simplify right side
    614.70x = 310,403.36
  5. Step 5: Solve for x
    x = 310,403.36/614.70
  6. Step 6: Final answer
    x = 504.97

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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.