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Finding the Fourth Proportional to 614.13, 847.34 and 427.41

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Solution

The fourth proportional to 614.13, 847.34 and 427.41 is: 589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.13 : 847.34 = 427.41 : x
  2. Step 2: Convert to fraction form
    614.13/847.34 = 427.41/x
  3. Step 3: Cross multiply
    614.13x = 847.34 × 427.41
  4. Step 4: Simplify right side
    614.13x = 362,159.45
  5. Step 5: Solve for x
    x = 362,159.45/614.13
  6. Step 6: Final answer
    x = 589.71

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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.