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Finding the Fourth Proportional to 313.99, 469.90 and 241.99

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Solution

The fourth proportional to 313.99, 469.90 and 241.99 is: 362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.99 : 469.90 = 241.99 : x
  2. Step 2: Convert to fraction form
    313.99/469.90 = 241.99/x
  3. Step 3: Cross multiply
    313.99x = 469.90 × 241.99
  4. Step 4: Simplify right side
    313.99x = 113,710.23
  5. Step 5: Solve for x
    x = 113,710.23/313.99
  6. Step 6: Final answer
    x = 362.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.