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Finding the Fourth Proportional to 897.72, 1,346.72 and 281.48

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Solution

The fourth proportional to 897.72, 1,346.72 and 281.48 is: 422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.72 : 1,346.72 = 281.48 : x
  2. Step 2: Convert to fraction form
    897.72/1,346.72 = 281.48/x
  3. Step 3: Cross multiply
    897.72x = 1,346.72 × 281.48
  4. Step 4: Simplify right side
    897.72x = 379,074.75
  5. Step 5: Solve for x
    x = 379,074.75/897.72
  6. Step 6: Final answer
    x = 422.26

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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.