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Finding the Fourth Proportional to 434.57, 651.98 and 280.68

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Solution

The fourth proportional to 434.57, 651.98 and 280.68 is: 421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.57 : 651.98 = 280.68 : x
  2. Step 2: Convert to fraction form
    434.57/651.98 = 280.68/x
  3. Step 3: Cross multiply
    434.57x = 651.98 × 280.68
  4. Step 4: Simplify right side
    434.57x = 182,996.34
  5. Step 5: Solve for x
    x = 182,996.34/434.57
  6. Step 6: Final answer
    x = 421.10

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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.