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Finding the Fourth Proportional to 589, 883.70 and 264.40

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Solution

The fourth proportional to 589, 883.70 and 264.40 is: 396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589 : 883.70 = 264.40 : x
  2. Step 2: Convert to fraction form
    589/883.70 = 264.40/x
  3. Step 3: Cross multiply
    589x = 883.70 × 264.40
  4. Step 4: Simplify right side
    589x = 233,650.28
  5. Step 5: Solve for x
    x = 233,650.28/589
  6. Step 6: Final answer
    x = 396.69

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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.