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Finding the Fourth Proportional to 597.14, 894.52 and 411.59

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Solution

The fourth proportional to 597.14, 894.52 and 411.59 is: 616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.14 : 894.52 = 411.59 : x
  2. Step 2: Convert to fraction form
    597.14/894.52 = 411.59/x
  3. Step 3: Cross multiply
    597.14x = 894.52 × 411.59
  4. Step 4: Simplify right side
    597.14x = 368,168.96
  5. Step 5: Solve for x
    x = 368,168.96/597.14
  6. Step 6: Final answer
    x = 616.55

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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.