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Finding the Fourth Proportional to 597.16, 894.30 and 366.16

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Solution

The fourth proportional to 597.16, 894.30 and 366.16 is: 548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.16 : 894.30 = 366.16 : x
  2. Step 2: Convert to fraction form
    597.16/894.30 = 366.16/x
  3. Step 3: Cross multiply
    597.16x = 894.30 × 366.16
  4. Step 4: Simplify right side
    597.16x = 327,456.89
  5. Step 5: Solve for x
    x = 327,456.89/597.16
  6. Step 6: Final answer
    x = 548.36

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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.