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Finding the Fourth Proportional to 631.32, 945.72 and 305.72

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Solution

The fourth proportional to 631.32, 945.72 and 305.72 is: 457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.32 : 945.72 = 305.72 : x
  2. Step 2: Convert to fraction form
    631.32/945.72 = 305.72/x
  3. Step 3: Cross multiply
    631.32x = 945.72 × 305.72
  4. Step 4: Simplify right side
    631.32x = 289,125.52
  5. Step 5: Solve for x
    x = 289,125.52/631.32
  6. Step 6: Final answer
    x = 457.97

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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.