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Finding the Fourth Proportional to 357.08, 492.74 and 209.76

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Solution

The fourth proportional to 357.08, 492.74 and 209.76 is: 289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.08 : 492.74 = 209.76 : x
  2. Step 2: Convert to fraction form
    357.08/492.74 = 209.76/x
  3. Step 3: Cross multiply
    357.08x = 492.74 × 209.76
  4. Step 4: Simplify right side
    357.08x = 103,357.14
  5. Step 5: Solve for x
    x = 103,357.14/357.08
  6. Step 6: Final answer
    x = 289.45

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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.