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Finding the Fourth Proportional to 304.69, 420.29 and 216.07

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Solution

The fourth proportional to 304.69, 420.29 and 216.07 is: 298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.69 : 420.29 = 216.07 : x
  2. Step 2: Convert to fraction form
    304.69/420.29 = 216.07/x
  3. Step 3: Cross multiply
    304.69x = 420.29 × 216.07
  4. Step 4: Simplify right side
    304.69x = 90,812.06
  5. Step 5: Solve for x
    x = 90,812.06/304.69
  6. Step 6: Final answer
    x = 298.05

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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.