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Finding the Fourth Proportional to 598, 896.76 and 289.60

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Solution

The fourth proportional to 598, 896.76 and 289.60 is: 434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    598 : 896.76 = 289.60 : x
  2. Step 2: Convert to fraction form
    598/896.76 = 289.60/x
  3. Step 3: Cross multiply
    598x = 896.76 × 289.60
  4. Step 4: Simplify right side
    598x = 259,701.70
  5. Step 5: Solve for x
    x = 259,701.70/598
  6. Step 6: Final answer
    x = 434.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.