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Finding the Fourth Proportional to 614.90, 848.56 and 335.14

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Solution

The fourth proportional to 614.90, 848.56 and 335.14 is: 462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.90 : 848.56 = 335.14 : x
  2. Step 2: Convert to fraction form
    614.90/848.56 = 335.14/x
  3. Step 3: Cross multiply
    614.90x = 848.56 × 335.14
  4. Step 4: Simplify right side
    614.90x = 284,380.48
  5. Step 5: Solve for x
    x = 284,380.48/614.90
  6. Step 6: Final answer
    x = 462.48

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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.