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Finding the Fourth Proportional to 474.54, 713.34 and 440.72

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Solution

The fourth proportional to 474.54, 713.34 and 440.72 is: 662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.54 : 713.34 = 440.72 : x
  2. Step 2: Convert to fraction form
    474.54/713.34 = 440.72/x
  3. Step 3: Cross multiply
    474.54x = 713.34 × 440.72
  4. Step 4: Simplify right side
    474.54x = 314,383.20
  5. Step 5: Solve for x
    x = 314,383.20/474.54
  6. Step 6: Final answer
    x = 662.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.