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Finding the Fourth Proportional to 591.67, 816.52 and 343

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Solution

The fourth proportional to 591.67, 816.52 and 343 is: 473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.67 : 816.52 = 343 : x
  2. Step 2: Convert to fraction form
    591.67/816.52 = 343/x
  3. Step 3: Cross multiply
    591.67x = 816.52 × 343
  4. Step 4: Simplify right side
    591.67x = 280,066.36
  5. Step 5: Solve for x
    x = 280,066.36/591.67
  6. Step 6: Final answer
    x = 473.35

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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.