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Finding the Fourth Proportional to 397.12, 594.64 and 280.94

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Solution

The fourth proportional to 397.12, 594.64 and 280.94 is: 420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.12 : 594.64 = 280.94 : x
  2. Step 2: Convert to fraction form
    397.12/594.64 = 280.94/x
  3. Step 3: Cross multiply
    397.12x = 594.64 × 280.94
  4. Step 4: Simplify right side
    397.12x = 167,058.16
  5. Step 5: Solve for x
    x = 167,058.16/397.12
  6. Step 6: Final answer
    x = 420.67

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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.