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Finding the Fourth Proportional to 897.75, 1,346.63 and 320.76

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Solution

The fourth proportional to 897.75, 1,346.63 and 320.76 is: 481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.75 : 1,346.63 = 320.76 : x
  2. Step 2: Convert to fraction form
    897.75/1,346.63 = 320.76/x
  3. Step 3: Cross multiply
    897.75x = 1,346.63 × 320.76
  4. Step 4: Simplify right side
    897.75x = 431,943.44
  5. Step 5: Solve for x
    x = 431,943.44/897.75
  6. Step 6: Final answer
    x = 481.14

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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.