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Finding the Fourth Proportional to 313.80, 468.12 and 277.80

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Solution

The fourth proportional to 313.80, 468.12 and 277.80 is: 414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.80 : 468.12 = 277.80 : x
  2. Step 2: Convert to fraction form
    313.80/468.12 = 277.80/x
  3. Step 3: Cross multiply
    313.80x = 468.12 × 277.80
  4. Step 4: Simplify right side
    313.80x = 130,043.74
  5. Step 5: Solve for x
    x = 130,043.74/313.80
  6. Step 6: Final answer
    x = 414.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.