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Finding the Fourth Proportional to 597.94, 896.84 and 165.06

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Solution

The fourth proportional to 597.94, 896.84 and 165.06 is: 247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.94 : 896.84 = 165.06 : x
  2. Step 2: Convert to fraction form
    597.94/896.84 = 165.06/x
  3. Step 3: Cross multiply
    597.94x = 896.84 × 165.06
  4. Step 4: Simplify right side
    597.94x = 148,032.41
  5. Step 5: Solve for x
    x = 148,032.41/597.94
  6. Step 6: Final answer
    x = 247.57

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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.