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Finding the Fourth Proportional to 568.28, 784.50 and 434.40

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Solution

The fourth proportional to 568.28, 784.50 and 434.40 is: 599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.28 : 784.50 = 434.40 : x
  2. Step 2: Convert to fraction form
    568.28/784.50 = 434.40/x
  3. Step 3: Cross multiply
    568.28x = 784.50 × 434.40
  4. Step 4: Simplify right side
    568.28x = 340,786.80
  5. Step 5: Solve for x
    x = 340,786.80/568.28
  6. Step 6: Final answer
    x = 599.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.