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Finding the Fourth Proportional to 464.96, 640.32 and 454.88

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Solution

The fourth proportional to 464.96, 640.32 and 454.88 is: 626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.96 : 640.32 = 454.88 : x
  2. Step 2: Convert to fraction form
    464.96/640.32 = 454.88/x
  3. Step 3: Cross multiply
    464.96x = 640.32 × 454.88
  4. Step 4: Simplify right side
    464.96x = 291,268.76
  5. Step 5: Solve for x
    x = 291,268.76/464.96
  6. Step 6: Final answer
    x = 626.44

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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.