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Finding the Fourth Proportional to 898.60, 1,347.54 and 321.16

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Solution

The fourth proportional to 898.60, 1,347.54 and 321.16 is: 481.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.60 : 1,347.54 = 321.16 : x
  2. Step 2: Convert to fraction form
    898.60/1,347.54 = 321.16/x
  3. Step 3: Cross multiply
    898.60x = 1,347.54 × 321.16
  4. Step 4: Simplify right side
    898.60x = 432,775.95
  5. Step 5: Solve for x
    x = 432,775.95/898.60
  6. Step 6: Final answer
    x = 481.61

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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.