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Finding the Fourth Proportional to 486.15, 670.73 and 311.60

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Solution

The fourth proportional to 486.15, 670.73 and 311.60 is: 429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.15 : 670.73 = 311.60 : x
  2. Step 2: Convert to fraction form
    486.15/670.73 = 311.60/x
  3. Step 3: Cross multiply
    486.15x = 670.73 × 311.60
  4. Step 4: Simplify right side
    486.15x = 208,994.56
  5. Step 5: Solve for x
    x = 208,994.56/486.15
  6. Step 6: Final answer
    x = 429.90

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