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Finding the Fourth Proportional to 898.60, 1,347.89 and 282.31

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Solution

The fourth proportional to 898.60, 1,347.89 and 282.31 is: 423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.60 : 1,347.89 = 282.31 : x
  2. Step 2: Convert to fraction form
    898.60/1,347.89 = 282.31/x
  3. Step 3: Cross multiply
    898.60x = 1,347.89 × 282.31
  4. Step 4: Simplify right side
    898.60x = 380,522.83
  5. Step 5: Solve for x
    x = 380,522.83/898.60
  6. Step 6: Final answer
    x = 423.46

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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.