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Finding the Fourth Proportional to 470.11, 703.78 and 347.56

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Solution

The fourth proportional to 470.11, 703.78 and 347.56 is: 520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.11 : 703.78 = 347.56 : x
  2. Step 2: Convert to fraction form
    470.11/703.78 = 347.56/x
  3. Step 3: Cross multiply
    470.11x = 703.78 × 347.56
  4. Step 4: Simplify right side
    470.11x = 244,605.78
  5. Step 5: Solve for x
    x = 244,605.78/470.11
  6. Step 6: Final answer
    x = 520.32

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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.