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Finding the Fourth Proportional to 464.19, 640.32 and 298.42

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Solution

The fourth proportional to 464.19, 640.32 and 298.42 is: 411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.19 : 640.32 = 298.42 : x
  2. Step 2: Convert to fraction form
    464.19/640.32 = 298.42/x
  3. Step 3: Cross multiply
    464.19x = 640.32 × 298.42
  4. Step 4: Simplify right side
    464.19x = 191,084.29
  5. Step 5: Solve for x
    x = 191,084.29/464.19
  6. Step 6: Final answer
    x = 411.66

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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.