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Finding the Fourth Proportional to 474.56, 711.84 and 397.34

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Solution

The fourth proportional to 474.56, 711.84 and 397.34 is: 596.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.56 : 711.84 = 397.34 : x
  2. Step 2: Convert to fraction form
    474.56/711.84 = 397.34/x
  3. Step 3: Cross multiply
    474.56x = 711.84 × 397.34
  4. Step 4: Simplify right side
    474.56x = 282,842.51
  5. Step 5: Solve for x
    x = 282,842.51/474.56
  6. Step 6: Final answer
    x = 596.01

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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.