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Finding the Fourth Proportional to 570.28, 786.98 and 308.29

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Solution

The fourth proportional to 570.28, 786.98 and 308.29 is: 425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.28 : 786.98 = 308.29 : x
  2. Step 2: Convert to fraction form
    570.28/786.98 = 308.29/x
  3. Step 3: Cross multiply
    570.28x = 786.98 × 308.29
  4. Step 4: Simplify right side
    570.28x = 242,616.52
  5. Step 5: Solve for x
    x = 242,616.52/570.28
  6. Step 6: Final answer
    x = 425.44

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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.