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Finding the Fourth Proportional to 355.14, 532.74 and 259.56

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Solution

The fourth proportional to 355.14, 532.74 and 259.56 is: 389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.14 : 532.74 = 259.56 : x
  2. Step 2: Convert to fraction form
    355.14/532.74 = 259.56/x
  3. Step 3: Cross multiply
    355.14x = 532.74 × 259.56
  4. Step 4: Simplify right side
    355.14x = 138,277.99
  5. Step 5: Solve for x
    x = 138,277.99/355.14
  6. Step 6: Final answer
    x = 389.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.