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Finding the Fourth Proportional to 614.68, 848.27 and 334.94

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Solution

The fourth proportional to 614.68, 848.27 and 334.94 is: 462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.68 : 848.27 = 334.94 : x
  2. Step 2: Convert to fraction form
    614.68/848.27 = 334.94/x
  3. Step 3: Cross multiply
    614.68x = 848.27 × 334.94
  4. Step 4: Simplify right side
    614.68x = 284,116.15
  5. Step 5: Solve for x
    x = 284,116.15/614.68
  6. Step 6: Final answer
    x = 462.22

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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.