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Finding the Fourth Proportional to 651.36, 898.20 and 464.88

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Solution

The fourth proportional to 651.36, 898.20 and 464.88 is: 641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.36 : 898.20 = 464.88 : x
  2. Step 2: Convert to fraction form
    651.36/898.20 = 464.88/x
  3. Step 3: Cross multiply
    651.36x = 898.20 × 464.88
  4. Step 4: Simplify right side
    651.36x = 417,555.22
  5. Step 5: Solve for x
    x = 417,555.22/651.36
  6. Step 6: Final answer
    x = 641.05

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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.