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Finding the Fourth Proportional to 351.44, 524.32 and 316.81

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Solution

The fourth proportional to 351.44, 524.32 and 316.81 is: 472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.44 : 524.32 = 316.81 : x
  2. Step 2: Convert to fraction form
    351.44/524.32 = 316.81/x
  3. Step 3: Cross multiply
    351.44x = 524.32 × 316.81
  4. Step 4: Simplify right side
    351.44x = 166,111.46
  5. Step 5: Solve for x
    x = 166,111.46/351.44
  6. Step 6: Final answer
    x = 472.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.