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Finding the Fourth Proportional to 464.24, 643.42 and 455.60

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Solution

The fourth proportional to 464.24, 643.42 and 455.60 is: 631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.24 : 643.42 = 455.60 : x
  2. Step 2: Convert to fraction form
    464.24/643.42 = 455.60/x
  3. Step 3: Cross multiply
    464.24x = 643.42 × 455.60
  4. Step 4: Simplify right side
    464.24x = 293,137.80
  5. Step 5: Solve for x
    x = 293,137.80/464.24
  6. Step 6: Final answer
    x = 631.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.