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Finding the Fourth Proportional to 285.26, 429.82 and 235.02

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Solution

The fourth proportional to 285.26, 429.82 and 235.02 is: 354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.26 : 429.82 = 235.02 : x
  2. Step 2: Convert to fraction form
    285.26/429.82 = 235.02/x
  3. Step 3: Cross multiply
    285.26x = 429.82 × 235.02
  4. Step 4: Simplify right side
    285.26x = 101,016.22
  5. Step 5: Solve for x
    x = 101,016.22/285.26
  6. Step 6: Final answer
    x = 354.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.