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Finding the Fourth Proportional to 464.94, 639.56 and 461.77

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Solution

The fourth proportional to 464.94, 639.56 and 461.77 is: 635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.94 : 639.56 = 461.77 : x
  2. Step 2: Convert to fraction form
    464.94/639.56 = 461.77/x
  3. Step 3: Cross multiply
    464.94x = 639.56 × 461.77
  4. Step 4: Simplify right side
    464.94x = 295,329.18
  5. Step 5: Solve for x
    x = 295,329.18/464.94
  6. Step 6: Final answer
    x = 635.20

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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.