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Finding the Fourth Proportional to 476.06, 660.82 and 464.54

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Solution

The fourth proportional to 476.06, 660.82 and 464.54 is: 644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.06 : 660.82 = 464.54 : x
  2. Step 2: Convert to fraction form
    476.06/660.82 = 464.54/x
  3. Step 3: Cross multiply
    476.06x = 660.82 × 464.54
  4. Step 4: Simplify right side
    476.06x = 306,975.00
  5. Step 5: Solve for x
    x = 306,975.00/476.06
  6. Step 6: Final answer
    x = 644.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.