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Finding the Fourth Proportional to 474.06, 654.02 and 350.01

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Solution

The fourth proportional to 474.06, 654.02 and 350.01 is: 482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.06 : 654.02 = 350.01 : x
  2. Step 2: Convert to fraction form
    474.06/654.02 = 350.01/x
  3. Step 3: Cross multiply
    474.06x = 654.02 × 350.01
  4. Step 4: Simplify right side
    474.06x = 228,913.54
  5. Step 5: Solve for x
    x = 228,913.54/474.06
  6. Step 6: Final answer
    x = 482.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.