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Finding the Fourth Proportional to 597.69, 896.54 and 380.81

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Solution

The fourth proportional to 597.69, 896.54 and 380.81 is: 571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.69 : 896.54 = 380.81 : x
  2. Step 2: Convert to fraction form
    597.69/896.54 = 380.81/x
  3. Step 3: Cross multiply
    597.69x = 896.54 × 380.81
  4. Step 4: Simplify right side
    597.69x = 341,411.73
  5. Step 5: Solve for x
    x = 341,411.73/597.69
  6. Step 6: Final answer
    x = 571.22

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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.