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Finding the Fourth Proportional to 597.23, 895.52 and 231.92

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Solution

The fourth proportional to 597.23, 895.52 and 231.92 is: 347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.23 : 895.52 = 231.92 : x
  2. Step 2: Convert to fraction form
    597.23/895.52 = 231.92/x
  3. Step 3: Cross multiply
    597.23x = 895.52 × 231.92
  4. Step 4: Simplify right side
    597.23x = 207,683.36
  5. Step 5: Solve for x
    x = 207,683.36/597.23
  6. Step 6: Final answer
    x = 347.75

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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.