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Finding the Fourth Proportional to 285.90, 429.45 and 271.98

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Solution

The fourth proportional to 285.90, 429.45 and 271.98 is: 408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.90 : 429.45 = 271.98 : x
  2. Step 2: Convert to fraction form
    285.90/429.45 = 271.98/x
  3. Step 3: Cross multiply
    285.90x = 429.45 × 271.98
  4. Step 4: Simplify right side
    285.90x = 116,801.81
  5. Step 5: Solve for x
    x = 116,801.81/285.90
  6. Step 6: Final answer
    x = 408.54

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Why These Related Problems?

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