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Finding the Fourth Proportional to 897.34, 1,346.01 and 281.14

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Solution

The fourth proportional to 897.34, 1,346.01 and 281.14 is: 421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.34 : 1,346.01 = 281.14 : x
  2. Step 2: Convert to fraction form
    897.34/1,346.01 = 281.14/x
  3. Step 3: Cross multiply
    897.34x = 1,346.01 × 281.14
  4. Step 4: Simplify right side
    897.34x = 378,410.52
  5. Step 5: Solve for x
    x = 378,410.52/897.34
  6. Step 6: Final answer
    x = 421.70

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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.