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Finding the Fourth Proportional to 631.80, 947.58 and 306.96

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Solution

The fourth proportional to 631.80, 947.58 and 306.96 is: 460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.80 : 947.58 = 306.96 : x
  2. Step 2: Convert to fraction form
    631.80/947.58 = 306.96/x
  3. Step 3: Cross multiply
    631.80x = 947.58 × 306.96
  4. Step 4: Simplify right side
    631.80x = 290,869.16
  5. Step 5: Solve for x
    x = 290,869.16/631.80
  6. Step 6: Final answer
    x = 460.38

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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.