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Finding the Fourth Proportional to 470.34, 705.71 and 451.44

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Solution

The fourth proportional to 470.34, 705.71 and 451.44 is: 677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.34 : 705.71 = 451.44 : x
  2. Step 2: Convert to fraction form
    470.34/705.71 = 451.44/x
  3. Step 3: Cross multiply
    470.34x = 705.71 × 451.44
  4. Step 4: Simplify right side
    470.34x = 318,586.85
  5. Step 5: Solve for x
    x = 318,586.85/470.34
  6. Step 6: Final answer
    x = 677.35

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