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Finding the Fourth Proportional to 897.48, 1,346.40 and 281.30

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Solution

The fourth proportional to 897.48, 1,346.40 and 281.30 is: 422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.48 : 1,346.40 = 281.30 : x
  2. Step 2: Convert to fraction form
    897.48/1,346.40 = 281.30/x
  3. Step 3: Cross multiply
    897.48x = 1,346.40 × 281.30
  4. Step 4: Simplify right side
    897.48x = 378,735.59
  5. Step 5: Solve for x
    x = 378,735.59/897.48
  6. Step 6: Final answer
    x = 422.00

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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.