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Finding the Fourth Proportional to 897.43, 1,346.30 and 281.02

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Solution

The fourth proportional to 897.43, 1,346.30 and 281.02 is: 421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.43 : 1,346.30 = 281.02 : x
  2. Step 2: Convert to fraction form
    897.43/1,346.30 = 281.02/x
  3. Step 3: Cross multiply
    897.43x = 1,346.30 × 281.02
  4. Step 4: Simplify right side
    897.43x = 378,330.14
  5. Step 5: Solve for x
    x = 378,330.14/897.43
  6. Step 6: Final answer
    x = 421.57

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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.