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Finding the Fourth Proportional to 290.58, 433.52 and 258.18

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Solution

The fourth proportional to 290.58, 433.52 and 258.18 is: 385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.58 : 433.52 = 258.18 : x
  2. Step 2: Convert to fraction form
    290.58/433.52 = 258.18/x
  3. Step 3: Cross multiply
    290.58x = 433.52 × 258.18
  4. Step 4: Simplify right side
    290.58x = 111,924.90
  5. Step 5: Solve for x
    x = 111,924.90/290.58
  6. Step 6: Final answer
    x = 385.18

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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.