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Finding the Fourth Proportional to 356.88, 492.60 and 209.64

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Solution

The fourth proportional to 356.88, 492.60 and 209.64 is: 289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.88 : 492.60 = 209.64 : x
  2. Step 2: Convert to fraction form
    356.88/492.60 = 209.64/x
  3. Step 3: Cross multiply
    356.88x = 492.60 × 209.64
  4. Step 4: Simplify right side
    356.88x = 103,268.66
  5. Step 5: Solve for x
    x = 103,268.66/356.88
  6. Step 6: Final answer
    x = 289.37

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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.