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Finding the Fourth Proportional to 465.08, 696.71 and 318.81

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Solution

The fourth proportional to 465.08, 696.71 and 318.81 is: 477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.08 : 696.71 = 318.81 : x
  2. Step 2: Convert to fraction form
    465.08/696.71 = 318.81/x
  3. Step 3: Cross multiply
    465.08x = 696.71 × 318.81
  4. Step 4: Simplify right side
    465.08x = 222,118.91
  5. Step 5: Solve for x
    x = 222,118.91/465.08
  6. Step 6: Final answer
    x = 477.59

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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.