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Finding the Fourth Proportional to 898.13, 1,346.27 and 378.42

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Solution

The fourth proportional to 898.13, 1,346.27 and 378.42 is: 567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.13 : 1,346.27 = 378.42 : x
  2. Step 2: Convert to fraction form
    898.13/1,346.27 = 378.42/x
  3. Step 3: Cross multiply
    898.13x = 1,346.27 × 378.42
  4. Step 4: Simplify right side
    898.13x = 509,453.60
  5. Step 5: Solve for x
    x = 509,453.60/898.13
  6. Step 6: Final answer
    x = 567.24

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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.