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Finding the Fourth Proportional to 568.84, 784.97 and 348.16

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Solution

The fourth proportional to 568.84, 784.97 and 348.16 is: 480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.84 : 784.97 = 348.16 : x
  2. Step 2: Convert to fraction form
    568.84/784.97 = 348.16/x
  3. Step 3: Cross multiply
    568.84x = 784.97 × 348.16
  4. Step 4: Simplify right side
    568.84x = 273,295.16
  5. Step 5: Solve for x
    x = 273,295.16/568.84
  6. Step 6: Final answer
    x = 480.44

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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.