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Finding the Fourth Proportional to 357.24, 492.77 and 209.76

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Solution

The fourth proportional to 357.24, 492.77 and 209.76 is: 289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.24 : 492.77 = 209.76 : x
  2. Step 2: Convert to fraction form
    357.24/492.77 = 209.76/x
  3. Step 3: Cross multiply
    357.24x = 492.77 × 209.76
  4. Step 4: Simplify right side
    357.24x = 103,362.39
  5. Step 5: Solve for x
    x = 103,362.39/357.24
  6. Step 6: Final answer
    x = 289.34

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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.