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Finding the Fourth Proportional to 464.35, 640.59 and 298.50

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Solution

The fourth proportional to 464.35, 640.59 and 298.50 is: 411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.35 : 640.59 = 298.50 : x
  2. Step 2: Convert to fraction form
    464.35/640.59 = 298.50/x
  3. Step 3: Cross multiply
    464.35x = 640.59 × 298.50
  4. Step 4: Simplify right side
    464.35x = 191,212.91
  5. Step 5: Solve for x
    x = 191,212.91/464.35
  6. Step 6: Final answer
    x = 411.79

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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.