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Finding the Fourth Proportional to 324.94, 448.62 and 291.74

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Solution

The fourth proportional to 324.94, 448.62 and 291.74 is: 402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.94 : 448.62 = 291.74 : x
  2. Step 2: Convert to fraction form
    324.94/448.62 = 291.74/x
  3. Step 3: Cross multiply
    324.94x = 448.62 × 291.74
  4. Step 4: Simplify right side
    324.94x = 130,880.40
  5. Step 5: Solve for x
    x = 130,880.40/324.94
  6. Step 6: Final answer
    x = 402.78

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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.