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Finding the Fourth Proportional to 464.54, 640.98 and 298.70

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Solution

The fourth proportional to 464.54, 640.98 and 298.70 is: 412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.54 : 640.98 = 298.70 : x
  2. Step 2: Convert to fraction form
    464.54/640.98 = 298.70/x
  3. Step 3: Cross multiply
    464.54x = 640.98 × 298.70
  4. Step 4: Simplify right side
    464.54x = 191,460.73
  5. Step 5: Solve for x
    x = 191,460.73/464.54
  6. Step 6: Final answer
    x = 412.15

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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.