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Finding the Fourth Proportional to 350.80, 524.24 and 281.98

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Solution

The fourth proportional to 350.80, 524.24 and 281.98 is: 421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.80 : 524.24 = 281.98 : x
  2. Step 2: Convert to fraction form
    350.80/524.24 = 281.98/x
  3. Step 3: Cross multiply
    350.80x = 524.24 × 281.98
  4. Step 4: Simplify right side
    350.80x = 147,825.50
  5. Step 5: Solve for x
    x = 147,825.50/350.80
  6. Step 6: Final answer
    x = 421.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.