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Finding the Fourth Proportional to 479.81, 718.53 and 305.96

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Solution

The fourth proportional to 479.81, 718.53 and 305.96 is: 458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.81 : 718.53 = 305.96 : x
  2. Step 2: Convert to fraction form
    479.81/718.53 = 305.96/x
  3. Step 3: Cross multiply
    479.81x = 718.53 × 305.96
  4. Step 4: Simplify right side
    479.81x = 219,843.81
  5. Step 5: Solve for x
    x = 219,843.81/479.81
  6. Step 6: Final answer
    x = 458.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.