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Finding the Fourth Proportional to 614.85, 848.29 and 378.56

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Solution

The fourth proportional to 614.85, 848.29 and 378.56 is: 522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.85 : 848.29 = 378.56 : x
  2. Step 2: Convert to fraction form
    614.85/848.29 = 378.56/x
  3. Step 3: Cross multiply
    614.85x = 848.29 × 378.56
  4. Step 4: Simplify right side
    614.85x = 321,122.53
  5. Step 5: Solve for x
    x = 321,122.53/614.85
  6. Step 6: Final answer
    x = 522.28

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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.