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Finding the Fourth Proportional to 684.36, 944.46 and 373.86

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Solution

The fourth proportional to 684.36, 944.46 and 373.86 is: 515.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.36 : 944.46 = 373.86 : x
  2. Step 2: Convert to fraction form
    684.36/944.46 = 373.86/x
  3. Step 3: Cross multiply
    684.36x = 944.46 × 373.86
  4. Step 4: Simplify right side
    684.36x = 353,095.82
  5. Step 5: Solve for x
    x = 353,095.82/684.36
  6. Step 6: Final answer
    x = 515.95

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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.