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Finding the Fourth Proportional to 684.63, 944.55 and 474.75

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Solution

The fourth proportional to 684.63, 944.55 and 474.75 is: 654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.63 : 944.55 = 474.75 : x
  2. Step 2: Convert to fraction form
    684.63/944.55 = 474.75/x
  3. Step 3: Cross multiply
    684.63x = 944.55 × 474.75
  4. Step 4: Simplify right side
    684.63x = 448,425.11
  5. Step 5: Solve for x
    x = 448,425.11/684.63
  6. Step 6: Final answer
    x = 654.99

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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.