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Finding the Fourth Proportional to 464.94, 642.06 and 463.86

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Solution

The fourth proportional to 464.94, 642.06 and 463.86 is: 640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.94 : 642.06 = 463.86 : x
  2. Step 2: Convert to fraction form
    464.94/642.06 = 463.86/x
  3. Step 3: Cross multiply
    464.94x = 642.06 × 463.86
  4. Step 4: Simplify right side
    464.94x = 297,825.95
  5. Step 5: Solve for x
    x = 297,825.95/464.94
  6. Step 6: Final answer
    x = 640.57

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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.