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Finding the Fourth Proportional to 470.12, 705.36 and 253.44

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Solution

The fourth proportional to 470.12, 705.36 and 253.44 is: 380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.12 : 705.36 = 253.44 : x
  2. Step 2: Convert to fraction form
    470.12/705.36 = 253.44/x
  3. Step 3: Cross multiply
    470.12x = 705.36 × 253.44
  4. Step 4: Simplify right side
    470.12x = 178,766.44
  5. Step 5: Solve for x
    x = 178,766.44/470.12
  6. Step 6: Final answer
    x = 380.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.