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Finding the Fourth Proportional to 613.83, 846.86 and 404.12

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Solution

The fourth proportional to 613.83, 846.86 and 404.12 is: 557.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.83 : 846.86 = 404.12 : x
  2. Step 2: Convert to fraction form
    613.83/846.86 = 404.12/x
  3. Step 3: Cross multiply
    613.83x = 846.86 × 404.12
  4. Step 4: Simplify right side
    613.83x = 342,226.81
  5. Step 5: Solve for x
    x = 342,226.81/613.83
  6. Step 6: Final answer
    x = 557.53

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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.