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Finding the Fourth Proportional to 897.64, 1,346.01 and 281.41

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Solution

The fourth proportional to 897.64, 1,346.01 and 281.41 is: 421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.64 : 1,346.01 = 281.41 : x
  2. Step 2: Convert to fraction form
    897.64/1,346.01 = 281.41/x
  3. Step 3: Cross multiply
    897.64x = 1,346.01 × 281.41
  4. Step 4: Simplify right side
    897.64x = 378,780.67
  5. Step 5: Solve for x
    x = 378,780.67/897.64
  6. Step 6: Final answer
    x = 421.97

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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.