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Finding the Fourth Proportional to 596.82, 823.54 and 348.11

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Solution

The fourth proportional to 596.82, 823.54 and 348.11 is: 480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.82 : 823.54 = 348.11 : x
  2. Step 2: Convert to fraction form
    596.82/823.54 = 348.11/x
  3. Step 3: Cross multiply
    596.82x = 823.54 × 348.11
  4. Step 4: Simplify right side
    596.82x = 286,682.51
  5. Step 5: Solve for x
    x = 286,682.51/596.82
  6. Step 6: Final answer
    x = 480.35

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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.