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Finding the Fourth Proportional to 613.41, 846.65 and 403.88

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Solution

The fourth proportional to 613.41, 846.65 and 403.88 is: 557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.41 : 846.65 = 403.88 : x
  2. Step 2: Convert to fraction form
    613.41/846.65 = 403.88/x
  3. Step 3: Cross multiply
    613.41x = 846.65 × 403.88
  4. Step 4: Simplify right side
    613.41x = 341,941.78
  5. Step 5: Solve for x
    x = 341,941.78/613.41
  6. Step 6: Final answer
    x = 557.44

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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.