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Finding the Fourth Proportional to 464.82, 642.02 and 340.30

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Solution

The fourth proportional to 464.82, 642.02 and 340.30 is: 470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.82 : 642.02 = 340.30 : x
  2. Step 2: Convert to fraction form
    464.82/642.02 = 340.30/x
  3. Step 3: Cross multiply
    464.82x = 642.02 × 340.30
  4. Step 4: Simplify right side
    464.82x = 218,479.41
  5. Step 5: Solve for x
    x = 218,479.41/464.82
  6. Step 6: Final answer
    x = 470.03

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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.