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Finding the Fourth Proportional to 488.36, 673.46 and 418.66

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Solution

The fourth proportional to 488.36, 673.46 and 418.66 is: 577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.36 : 673.46 = 418.66 : x
  2. Step 2: Convert to fraction form
    488.36/673.46 = 418.66/x
  3. Step 3: Cross multiply
    488.36x = 673.46 × 418.66
  4. Step 4: Simplify right side
    488.36x = 281,950.76
  5. Step 5: Solve for x
    x = 281,950.76/488.36
  6. Step 6: Final answer
    x = 577.34

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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.