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Finding the Fourth Proportional to 434.36, 651.70 and 280.21

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Solution

The fourth proportional to 434.36, 651.70 and 280.21 is: 420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.36 : 651.70 = 280.21 : x
  2. Step 2: Convert to fraction form
    434.36/651.70 = 280.21/x
  3. Step 3: Cross multiply
    434.36x = 651.70 × 280.21
  4. Step 4: Simplify right side
    434.36x = 182,611.22
  5. Step 5: Solve for x
    x = 182,611.22/434.36
  6. Step 6: Final answer
    x = 420.41

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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.