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Finding the Fourth Proportional to 568.40, 784.16 and 328.96

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Solution

The fourth proportional to 568.40, 784.16 and 328.96 is: 453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.40 : 784.16 = 328.96 : x
  2. Step 2: Convert to fraction form
    568.40/784.16 = 328.96/x
  3. Step 3: Cross multiply
    568.40x = 784.16 × 328.96
  4. Step 4: Simplify right side
    568.40x = 257,959.12
  5. Step 5: Solve for x
    x = 257,959.12/568.40
  6. Step 6: Final answer
    x = 453.84

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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.