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Finding the Fourth Proportional to 597.46, 894.31 and 411.27

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Solution

The fourth proportional to 597.46, 894.31 and 411.27 is: 615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.46 : 894.31 = 411.27 : x
  2. Step 2: Convert to fraction form
    597.46/894.31 = 411.27/x
  3. Step 3: Cross multiply
    597.46x = 894.31 × 411.27
  4. Step 4: Simplify right side
    597.46x = 367,802.87
  5. Step 5: Solve for x
    x = 367,802.87/597.46
  6. Step 6: Final answer
    x = 615.61

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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.