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Finding the Fourth Proportional to 897.98, 1,346.94 and 281.59

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Solution

The fourth proportional to 897.98, 1,346.94 and 281.59 is: 422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.98 : 1,346.94 = 281.59 : x
  2. Step 2: Convert to fraction form
    897.98/1,346.94 = 281.59/x
  3. Step 3: Cross multiply
    897.98x = 1,346.94 × 281.59
  4. Step 4: Simplify right side
    897.98x = 379,281.47
  5. Step 5: Solve for x
    x = 379,281.47/897.98
  6. Step 6: Final answer
    x = 422.37

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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.