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Finding the Fourth Proportional to 597.12, 823.97 and 348.41

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Solution

The fourth proportional to 597.12, 823.97 and 348.41 is: 480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.12 : 823.97 = 348.41 : x
  2. Step 2: Convert to fraction form
    597.12/823.97 = 348.41/x
  3. Step 3: Cross multiply
    597.12x = 823.97 × 348.41
  4. Step 4: Simplify right side
    597.12x = 287,075.27
  5. Step 5: Solve for x
    x = 287,075.27/597.12
  6. Step 6: Final answer
    x = 480.77

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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.