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Finding the Fourth Proportional to 358.72, 491.84 and 340.16

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Solution

The fourth proportional to 358.72, 491.84 and 340.16 is: 466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.72 : 491.84 = 340.16 : x
  2. Step 2: Convert to fraction form
    358.72/491.84 = 340.16/x
  3. Step 3: Cross multiply
    358.72x = 491.84 × 340.16
  4. Step 4: Simplify right side
    358.72x = 167,304.29
  5. Step 5: Solve for x
    x = 167,304.29/358.72
  6. Step 6: Final answer
    x = 466.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.