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Finding the Fourth Proportional to 897.49, 1,346.38 and 281.07

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Solution

The fourth proportional to 897.49, 1,346.38 and 281.07 is: 421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.49 : 1,346.38 = 281.07 : x
  2. Step 2: Convert to fraction form
    897.49/1,346.38 = 281.07/x
  3. Step 3: Cross multiply
    897.49x = 1,346.38 × 281.07
  4. Step 4: Simplify right side
    897.49x = 378,427.03
  5. Step 5: Solve for x
    x = 378,427.03/897.49
  6. Step 6: Final answer
    x = 421.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.