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Finding the Fourth Proportional to 597.24, 824.28 and 348.69

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Solution

The fourth proportional to 597.24, 824.28 and 348.69 is: 481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 824.28 = 348.69 : x
  2. Step 2: Convert to fraction form
    597.24/824.28 = 348.69/x
  3. Step 3: Cross multiply
    597.24x = 824.28 × 348.69
  4. Step 4: Simplify right side
    597.24x = 287,418.19
  5. Step 5: Solve for x
    x = 287,418.19/597.24
  6. Step 6: Final answer
    x = 481.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.