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Finding the Fourth Proportional to 614.75, 848.14 and 365.96

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Solution

The fourth proportional to 614.75, 848.14 and 365.96 is: 504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.75 : 848.14 = 365.96 : x
  2. Step 2: Convert to fraction form
    614.75/848.14 = 365.96/x
  3. Step 3: Cross multiply
    614.75x = 848.14 × 365.96
  4. Step 4: Simplify right side
    614.75x = 310,386.52
  5. Step 5: Solve for x
    x = 310,386.52/614.75
  6. Step 6: Final answer
    x = 504.90

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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.