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Finding the Fourth Proportional to 651.12, 897.24 and 464.28

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Solution

The fourth proportional to 651.12, 897.24 and 464.28 is: 639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.12 : 897.24 = 464.28 : x
  2. Step 2: Convert to fraction form
    651.12/897.24 = 464.28/x
  3. Step 3: Cross multiply
    651.12x = 897.24 × 464.28
  4. Step 4: Simplify right side
    651.12x = 416,566.10
  5. Step 5: Solve for x
    x = 416,566.10/651.12
  6. Step 6: Final answer
    x = 639.77

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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.