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Finding the Fourth Proportional to 280.40, 421.07 and 234.08

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Solution

The fourth proportional to 280.40, 421.07 and 234.08 is: 351.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.40 : 421.07 = 234.08 : x
  2. Step 2: Convert to fraction form
    280.40/421.07 = 234.08/x
  3. Step 3: Cross multiply
    280.40x = 421.07 × 234.08
  4. Step 4: Simplify right side
    280.40x = 98,564.07
  5. Step 5: Solve for x
    x = 98,564.07/280.40
  6. Step 6: Final answer
    x = 351.51

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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.