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Finding the Fourth Proportional to 325.17, 488.31 and 290.52

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Solution

The fourth proportional to 325.17, 488.31 and 290.52 is: 436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.17 : 488.31 = 290.52 : x
  2. Step 2: Convert to fraction form
    325.17/488.31 = 290.52/x
  3. Step 3: Cross multiply
    325.17x = 488.31 × 290.52
  4. Step 4: Simplify right side
    325.17x = 141,863.82
  5. Step 5: Solve for x
    x = 141,863.82/325.17
  6. Step 6: Final answer
    x = 436.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.