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Finding the Fourth Proportional to 684.86, 944.75 and 419.20

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Solution

The fourth proportional to 684.86, 944.75 and 419.20 is: 578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.86 : 944.75 = 419.20 : x
  2. Step 2: Convert to fraction form
    684.86/944.75 = 419.20/x
  3. Step 3: Cross multiply
    684.86x = 944.75 × 419.20
  4. Step 4: Simplify right side
    684.86x = 396,037.89
  5. Step 5: Solve for x
    x = 396,037.89/684.86
  6. Step 6: Final answer
    x = 578.28

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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.