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Finding the Fourth Proportional to 448.57, 619.29 and 293.59

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Solution

The fourth proportional to 448.57, 619.29 and 293.59 is: 405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.57 : 619.29 = 293.59 : x
  2. Step 2: Convert to fraction form
    448.57/619.29 = 293.59/x
  3. Step 3: Cross multiply
    448.57x = 619.29 × 293.59
  4. Step 4: Simplify right side
    448.57x = 181,817.35
  5. Step 5: Solve for x
    x = 181,817.35/448.57
  6. Step 6: Final answer
    x = 405.33

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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.