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Finding the Fourth Proportional to 488.22, 673.64 and 278.34

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Solution

The fourth proportional to 488.22, 673.64 and 278.34 is: 384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.22 : 673.64 = 278.34 : x
  2. Step 2: Convert to fraction form
    488.22/673.64 = 278.34/x
  3. Step 3: Cross multiply
    488.22x = 673.64 × 278.34
  4. Step 4: Simplify right side
    488.22x = 187,499.35
  5. Step 5: Solve for x
    x = 187,499.35/488.22
  6. Step 6: Final answer
    x = 384.05

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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.