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Finding the Fourth Proportional to 304.24, 419.64 and 206.08

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Solution

The fourth proportional to 304.24, 419.64 and 206.08 is: 284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.24 : 419.64 = 206.08 : x
  2. Step 2: Convert to fraction form
    304.24/419.64 = 206.08/x
  3. Step 3: Cross multiply
    304.24x = 419.64 × 206.08
  4. Step 4: Simplify right side
    304.24x = 86,479.41
  5. Step 5: Solve for x
    x = 86,479.41/304.24
  6. Step 6: Final answer
    x = 284.25

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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.