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Finding the Fourth Proportional to 280.99, 420.77 and 235.23

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Solution

The fourth proportional to 280.99, 420.77 and 235.23 is: 352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.99 : 420.77 = 235.23 : x
  2. Step 2: Convert to fraction form
    280.99/420.77 = 235.23/x
  3. Step 3: Cross multiply
    280.99x = 420.77 × 235.23
  4. Step 4: Simplify right side
    280.99x = 98,977.73
  5. Step 5: Solve for x
    x = 98,977.73/280.99
  6. Step 6: Final answer
    x = 352.25

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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.