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Finding the Fourth Proportional to 611.16, 843.53 and 414.74

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Solution

The fourth proportional to 611.16, 843.53 and 414.74 is: 572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.16 : 843.53 = 414.74 : x
  2. Step 2: Convert to fraction form
    611.16/843.53 = 414.74/x
  3. Step 3: Cross multiply
    611.16x = 843.53 × 414.74
  4. Step 4: Simplify right side
    611.16x = 349,845.63
  5. Step 5: Solve for x
    x = 349,845.63/611.16
  6. Step 6: Final answer
    x = 572.43

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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.