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Finding the Fourth Proportional to 651.17, 897.62 and 464.27

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Solution

The fourth proportional to 651.17, 897.62 and 464.27 is: 639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.17 : 897.62 = 464.27 : x
  2. Step 2: Convert to fraction form
    651.17/897.62 = 464.27/x
  3. Step 3: Cross multiply
    651.17x = 897.62 × 464.27
  4. Step 4: Simplify right side
    651.17x = 416,731.23
  5. Step 5: Solve for x
    x = 416,731.23/651.17
  6. Step 6: Final answer
    x = 639.97

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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.