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Finding the Fourth Proportional to 464.48, 640.42 and 298.70

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Solution

The fourth proportional to 464.48, 640.42 and 298.70 is: 411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.48 : 640.42 = 298.70 : x
  2. Step 2: Convert to fraction form
    464.48/640.42 = 298.70/x
  3. Step 3: Cross multiply
    464.48x = 640.42 × 298.70
  4. Step 4: Simplify right side
    464.48x = 191,290.25
  5. Step 5: Solve for x
    x = 191,290.25/464.48
  6. Step 6: Final answer
    x = 411.84

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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.