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Finding the Fourth Proportional to 493.28, 735.84 and 411.20

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Solution

The fourth proportional to 493.28, 735.84 and 411.20 is: 613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.28 : 735.84 = 411.20 : x
  2. Step 2: Convert to fraction form
    493.28/735.84 = 411.20/x
  3. Step 3: Cross multiply
    493.28x = 735.84 × 411.20
  4. Step 4: Simplify right side
    493.28x = 302,577.41
  5. Step 5: Solve for x
    x = 302,577.41/493.28
  6. Step 6: Final answer
    x = 613.40

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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.