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Finding the Fourth Proportional to 280.84, 420.34 and 229.06

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Solution

The fourth proportional to 280.84, 420.34 and 229.06 is: 342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.84 : 420.34 = 229.06 : x
  2. Step 2: Convert to fraction form
    280.84/420.34 = 229.06/x
  3. Step 3: Cross multiply
    280.84x = 420.34 × 229.06
  4. Step 4: Simplify right side
    280.84x = 96,283.08
  5. Step 5: Solve for x
    x = 96,283.08/280.84
  6. Step 6: Final answer
    x = 342.84

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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.