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Finding the Fourth Proportional to 290.88, 435.60 and 285.06

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Solution

The fourth proportional to 290.88, 435.60 and 285.06 is: 426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.88 : 435.60 = 285.06 : x
  2. Step 2: Convert to fraction form
    290.88/435.60 = 285.06/x
  3. Step 3: Cross multiply
    290.88x = 435.60 × 285.06
  4. Step 4: Simplify right side
    290.88x = 124,172.14
  5. Step 5: Solve for x
    x = 124,172.14/290.88
  6. Step 6: Final answer
    x = 426.88

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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.