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Finding the Fourth Proportional to 356.84, 492.41 and 209.49

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Solution

The fourth proportional to 356.84, 492.41 and 209.49 is: 289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.84 : 492.41 = 209.49 : x
  2. Step 2: Convert to fraction form
    356.84/492.41 = 209.49/x
  3. Step 3: Cross multiply
    356.84x = 492.41 × 209.49
  4. Step 4: Simplify right side
    356.84x = 103,153.92
  5. Step 5: Solve for x
    x = 103,153.92/356.84
  6. Step 6: Final answer
    x = 289.08

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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.