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Finding the Fourth Proportional to 448.55, 618.91 and 343.77

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Solution

The fourth proportional to 448.55, 618.91 and 343.77 is: 474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.55 : 618.91 = 343.77 : x
  2. Step 2: Convert to fraction form
    448.55/618.91 = 343.77/x
  3. Step 3: Cross multiply
    448.55x = 618.91 × 343.77
  4. Step 4: Simplify right side
    448.55x = 212,762.69
  5. Step 5: Solve for x
    x = 212,762.69/448.55
  6. Step 6: Final answer
    x = 474.33

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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.