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Finding the Fourth Proportional to 597.56, 895.24 and 323.24

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Solution

The fourth proportional to 597.56, 895.24 and 323.24 is: 484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.56 : 895.24 = 323.24 : x
  2. Step 2: Convert to fraction form
    597.56/895.24 = 323.24/x
  3. Step 3: Cross multiply
    597.56x = 895.24 × 323.24
  4. Step 4: Simplify right side
    597.56x = 289,377.38
  5. Step 5: Solve for x
    x = 289,377.38/597.56
  6. Step 6: Final answer
    x = 484.26

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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.