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Finding the Fourth Proportional to 614.43, 847.35 and 412.20

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Solution

The fourth proportional to 614.43, 847.35 and 412.20 is: 568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.43 : 847.35 = 412.20 : x
  2. Step 2: Convert to fraction form
    614.43/847.35 = 412.20/x
  3. Step 3: Cross multiply
    614.43x = 847.35 × 412.20
  4. Step 4: Simplify right side
    614.43x = 349,277.67
  5. Step 5: Solve for x
    x = 349,277.67/614.43
  6. Step 6: Final answer
    x = 568.46

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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.