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Finding the Fourth Proportional to 597.01, 895.52 and 164.19

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Solution

The fourth proportional to 597.01, 895.52 and 164.19 is: 246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.01 : 895.52 = 164.19 : x
  2. Step 2: Convert to fraction form
    597.01/895.52 = 164.19/x
  3. Step 3: Cross multiply
    597.01x = 895.52 × 164.19
  4. Step 4: Simplify right side
    597.01x = 147,035.43
  5. Step 5: Solve for x
    x = 147,035.43/597.01
  6. Step 6: Final answer
    x = 246.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.