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Finding the Fourth Proportional to 303.85, 452.74 and 290.58

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Solution

The fourth proportional to 303.85, 452.74 and 290.58 is: 432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.85 : 452.74 = 290.58 : x
  2. Step 2: Convert to fraction form
    303.85/452.74 = 290.58/x
  3. Step 3: Cross multiply
    303.85x = 452.74 × 290.58
  4. Step 4: Simplify right side
    303.85x = 131,557.19
  5. Step 5: Solve for x
    x = 131,557.19/303.85
  6. Step 6: Final answer
    x = 432.97

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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.