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Finding the Fourth Proportional to 474.92, 654.90 and 319.40

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Solution

The fourth proportional to 474.92, 654.90 and 319.40 is: 440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.92 : 654.90 = 319.40 : x
  2. Step 2: Convert to fraction form
    474.92/654.90 = 319.40/x
  3. Step 3: Cross multiply
    474.92x = 654.90 × 319.40
  4. Step 4: Simplify right side
    474.92x = 209,175.06
  5. Step 5: Solve for x
    x = 209,175.06/474.92
  6. Step 6: Final answer
    x = 440.44

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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.