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Finding the Fourth Proportional to 614.34, 846.81 and 418.14

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Solution

The fourth proportional to 614.34, 846.81 and 418.14 is: 576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.34 : 846.81 = 418.14 : x
  2. Step 2: Convert to fraction form
    614.34/846.81 = 418.14/x
  3. Step 3: Cross multiply
    614.34x = 846.81 × 418.14
  4. Step 4: Simplify right side
    614.34x = 354,085.13
  5. Step 5: Solve for x
    x = 354,085.13/614.34
  6. Step 6: Final answer
    x = 576.37

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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.