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Finding the Fourth Proportional to 464.28, 639.54 and 434.04

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Solution

The fourth proportional to 464.28, 639.54 and 434.04 is: 597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.28 : 639.54 = 434.04 : x
  2. Step 2: Convert to fraction form
    464.28/639.54 = 434.04/x
  3. Step 3: Cross multiply
    464.28x = 639.54 × 434.04
  4. Step 4: Simplify right side
    464.28x = 277,585.94
  5. Step 5: Solve for x
    x = 277,585.94/464.28
  6. Step 6: Final answer
    x = 597.88

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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.