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Finding the Fourth Proportional to 464.16, 640.83 and 340.14

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Solution

The fourth proportional to 464.16, 640.83 and 340.14 is: 469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.16 : 640.83 = 340.14 : x
  2. Step 2: Convert to fraction form
    464.16/640.83 = 340.14/x
  3. Step 3: Cross multiply
    464.16x = 640.83 × 340.14
  4. Step 4: Simplify right side
    464.16x = 217,971.92
  5. Step 5: Solve for x
    x = 217,971.92/464.16
  6. Step 6: Final answer
    x = 469.61

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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.