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Finding the Fourth Proportional to 898.62, 1,348.45 and 378.58

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Solution

The fourth proportional to 898.62, 1,348.45 and 378.58 is: 568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.62 : 1,348.45 = 378.58 : x
  2. Step 2: Convert to fraction form
    898.62/1,348.45 = 378.58/x
  3. Step 3: Cross multiply
    898.62x = 1,348.45 × 378.58
  4. Step 4: Simplify right side
    898.62x = 510,496.20
  5. Step 5: Solve for x
    x = 510,496.20/898.62
  6. Step 6: Final answer
    x = 568.09

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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.