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Finding the Fourth Proportional to 474.44, 710.94 and 352.13

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Solution

The fourth proportional to 474.44, 710.94 and 352.13 is: 527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.44 : 710.94 = 352.13 : x
  2. Step 2: Convert to fraction form
    474.44/710.94 = 352.13/x
  3. Step 3: Cross multiply
    474.44x = 710.94 × 352.13
  4. Step 4: Simplify right side
    474.44x = 250,343.30
  5. Step 5: Solve for x
    x = 250,343.30/474.44
  6. Step 6: Final answer
    x = 527.66

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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.