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Finding the Fourth Proportional to 613.11, 846.70 and 403.43

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Solution

The fourth proportional to 613.11, 846.70 and 403.43 is: 557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.11 : 846.70 = 403.43 : x
  2. Step 2: Convert to fraction form
    613.11/846.70 = 403.43/x
  3. Step 3: Cross multiply
    613.11x = 846.70 × 403.43
  4. Step 4: Simplify right side
    613.11x = 341,579.95
  5. Step 5: Solve for x
    x = 341,579.95/613.11
  6. Step 6: Final answer
    x = 557.13

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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.