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Finding the Fourth Proportional to 307.51, 424.48 and 209.56

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Solution

The fourth proportional to 307.51, 424.48 and 209.56 is: 289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.51 : 424.48 = 209.56 : x
  2. Step 2: Convert to fraction form
    307.51/424.48 = 209.56/x
  3. Step 3: Cross multiply
    307.51x = 424.48 × 209.56
  4. Step 4: Simplify right side
    307.51x = 88,954.03
  5. Step 5: Solve for x
    x = 88,954.03/307.51
  6. Step 6: Final answer
    x = 289.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.