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Finding the Fourth Proportional to 684.84, 944.55 and 498.30

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Solution

The fourth proportional to 684.84, 944.55 and 498.30 is: 687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.84 : 944.55 = 498.30 : x
  2. Step 2: Convert to fraction form
    684.84/944.55 = 498.30/x
  3. Step 3: Cross multiply
    684.84x = 944.55 × 498.30
  4. Step 4: Simplify right side
    684.84x = 470,669.27
  5. Step 5: Solve for x
    x = 470,669.27/684.84
  6. Step 6: Final answer
    x = 687.27

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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.