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Finding the Fourth Proportional to 488.85, 673.15 and 418.38

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Solution

The fourth proportional to 488.85, 673.15 and 418.38 is: 576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.85 : 673.15 = 418.38 : x
  2. Step 2: Convert to fraction form
    488.85/673.15 = 418.38/x
  3. Step 3: Cross multiply
    488.85x = 673.15 × 418.38
  4. Step 4: Simplify right side
    488.85x = 281,632.50
  5. Step 5: Solve for x
    x = 281,632.50/488.85
  6. Step 6: Final answer
    x = 576.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.