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Finding the Fourth Proportional to 297, 443.52 and 290.25

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Solution

The fourth proportional to 297, 443.52 and 290.25 is: 433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297 : 443.52 = 290.25 : x
  2. Step 2: Convert to fraction form
    297/443.52 = 290.25/x
  3. Step 3: Cross multiply
    297x = 443.52 × 290.25
  4. Step 4: Simplify right side
    297x = 128,731.68
  5. Step 5: Solve for x
    x = 128,731.68/297
  6. Step 6: Final answer
    x = 433.44

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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.