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Finding the Fourth Proportional to 613.44, 846.54 and 403.92

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Solution

The fourth proportional to 613.44, 846.54 and 403.92 is: 557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.44 : 846.54 = 403.92 : x
  2. Step 2: Convert to fraction form
    613.44/846.54 = 403.92/x
  3. Step 3: Cross multiply
    613.44x = 846.54 × 403.92
  4. Step 4: Simplify right side
    613.44x = 341,934.44
  5. Step 5: Solve for x
    x = 341,934.44/613.44
  6. Step 6: Final answer
    x = 557.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.