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Finding the Fourth Proportional to 613.32, 846.21 and 582.54

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Solution

The fourth proportional to 613.32, 846.21 and 582.54 is: 803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.32 : 846.21 = 582.54 : x
  2. Step 2: Convert to fraction form
    613.32/846.21 = 582.54/x
  3. Step 3: Cross multiply
    613.32x = 846.21 × 582.54
  4. Step 4: Simplify right side
    613.32x = 492,951.17
  5. Step 5: Solve for x
    x = 492,951.17/613.32
  6. Step 6: Final answer
    x = 803.74

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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.