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Finding the Fourth Proportional to 597.33, 895.89 and 164.52

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Solution

The fourth proportional to 597.33, 895.89 and 164.52 is: 246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.33 : 895.89 = 164.52 : x
  2. Step 2: Convert to fraction form
    597.33/895.89 = 164.52/x
  3. Step 3: Cross multiply
    597.33x = 895.89 × 164.52
  4. Step 4: Simplify right side
    597.33x = 147,391.82
  5. Step 5: Solve for x
    x = 147,391.82/597.33
  6. Step 6: Final answer
    x = 246.75

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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.