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Finding the Fourth Proportional to 308.17, 424.79 and 210.07

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Solution

The fourth proportional to 308.17, 424.79 and 210.07 is: 289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.17 : 424.79 = 210.07 : x
  2. Step 2: Convert to fraction form
    308.17/424.79 = 210.07/x
  3. Step 3: Cross multiply
    308.17x = 424.79 × 210.07
  4. Step 4: Simplify right side
    308.17x = 89,234.58
  5. Step 5: Solve for x
    x = 89,234.58/308.17
  6. Step 6: Final answer
    x = 289.56

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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.