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Finding the Fourth Proportional to 614.17, 846.97 and 466.55

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Solution

The fourth proportional to 614.17, 846.97 and 466.55 is: 643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.17 : 846.97 = 466.55 : x
  2. Step 2: Convert to fraction form
    614.17/846.97 = 466.55/x
  3. Step 3: Cross multiply
    614.17x = 846.97 × 466.55
  4. Step 4: Simplify right side
    614.17x = 395,151.63
  5. Step 5: Solve for x
    x = 395,151.63/614.17
  6. Step 6: Final answer
    x = 643.39

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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.