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Finding the Fourth Proportional to 614.35, 846.91 and 466.73

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Solution

The fourth proportional to 614.35, 846.91 and 466.73 is: 643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.35 : 846.91 = 466.73 : x
  2. Step 2: Convert to fraction form
    614.35/846.91 = 466.73/x
  3. Step 3: Cross multiply
    614.35x = 846.91 × 466.73
  4. Step 4: Simplify right side
    614.35x = 395,275.02
  5. Step 5: Solve for x
    x = 395,275.02/614.35
  6. Step 6: Final answer
    x = 643.40

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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.