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Finding the Fourth Proportional to 684.22, 942.94 and 487.40

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Solution

The fourth proportional to 684.22, 942.94 and 487.40 is: 671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.22 : 942.94 = 487.40 : x
  2. Step 2: Convert to fraction form
    684.22/942.94 = 487.40/x
  3. Step 3: Cross multiply
    684.22x = 942.94 × 487.40
  4. Step 4: Simplify right side
    684.22x = 459,588.96
  5. Step 5: Solve for x
    x = 459,588.96/684.22
  6. Step 6: Final answer
    x = 671.70

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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.