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Finding the Fourth Proportional to 568.64, 784.71 and 344.59

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Solution

The fourth proportional to 568.64, 784.71 and 344.59 is: 475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.64 : 784.71 = 344.59 : x
  2. Step 2: Convert to fraction form
    568.64/784.71 = 344.59/x
  3. Step 3: Cross multiply
    568.64x = 784.71 × 344.59
  4. Step 4: Simplify right side
    568.64x = 270,401.26
  5. Step 5: Solve for x
    x = 270,401.26/568.64
  6. Step 6: Final answer
    x = 475.52

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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.