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Finding the Fourth Proportional to 568.16, 784.44 and 335.36

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Solution

The fourth proportional to 568.16, 784.44 and 335.36 is: 463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.16 : 784.44 = 335.36 : x
  2. Step 2: Convert to fraction form
    568.16/784.44 = 335.36/x
  3. Step 3: Cross multiply
    568.16x = 784.44 × 335.36
  4. Step 4: Simplify right side
    568.16x = 263,069.80
  5. Step 5: Solve for x
    x = 263,069.80/568.16
  6. Step 6: Final answer
    x = 463.02

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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.