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Finding the Fourth Proportional to 474.76, 654.28 and 450.84

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Solution

The fourth proportional to 474.76, 654.28 and 450.84 is: 621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.76 : 654.28 = 450.84 : x
  2. Step 2: Convert to fraction form
    474.76/654.28 = 450.84/x
  3. Step 3: Cross multiply
    474.76x = 654.28 × 450.84
  4. Step 4: Simplify right side
    474.76x = 294,975.08
  5. Step 5: Solve for x
    x = 294,975.08/474.76
  6. Step 6: Final answer
    x = 621.31

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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.