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Finding the Fourth Proportional to 472.44, 707.94 and 350.13

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Solution

The fourth proportional to 472.44, 707.94 and 350.13 is: 524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.44 : 707.94 = 350.13 : x
  2. Step 2: Convert to fraction form
    472.44/707.94 = 350.13/x
  3. Step 3: Cross multiply
    472.44x = 707.94 × 350.13
  4. Step 4: Simplify right side
    472.44x = 247,871.03
  5. Step 5: Solve for x
    x = 247,871.03/472.44
  6. Step 6: Final answer
    x = 524.66

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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.