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Finding the Fourth Proportional to 651.40, 898 and 464.57

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Solution

The fourth proportional to 651.40, 898 and 464.57 is: 640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.40 : 898 = 464.57 : x
  2. Step 2: Convert to fraction form
    651.40/898 = 464.57/x
  3. Step 3: Cross multiply
    651.40x = 898 × 464.57
  4. Step 4: Simplify right side
    651.40x = 417,181.62
  5. Step 5: Solve for x
    x = 417,181.62/651.40
  6. Step 6: Final answer
    x = 640.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.