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Finding the Fourth Proportional to 290.90, 435.03 and 258.59

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Solution

The fourth proportional to 290.90, 435.03 and 258.59 is: 386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.90 : 435.03 = 258.59 : x
  2. Step 2: Convert to fraction form
    290.90/435.03 = 258.59/x
  3. Step 3: Cross multiply
    290.90x = 435.03 × 258.59
  4. Step 4: Simplify right side
    290.90x = 112,492.23
  5. Step 5: Solve for x
    x = 112,492.23/290.90
  6. Step 6: Final answer
    x = 386.71

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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.