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Finding the Fourth Proportional to 349.62, 525.65 and 281.63

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Solution

The fourth proportional to 349.62, 525.65 and 281.63 is: 423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.62 : 525.65 = 281.63 : x
  2. Step 2: Convert to fraction form
    349.62/525.65 = 281.63/x
  3. Step 3: Cross multiply
    349.62x = 525.65 × 281.63
  4. Step 4: Simplify right side
    349.62x = 148,034.77
  5. Step 5: Solve for x
    x = 148,034.77/349.62
  6. Step 6: Final answer
    x = 423.42

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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.