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Finding the Fourth Proportional to 518.09, 715.05 and 321.62

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Solution

The fourth proportional to 518.09, 715.05 and 321.62 is: 443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.09 : 715.05 = 321.62 : x
  2. Step 2: Convert to fraction form
    518.09/715.05 = 321.62/x
  3. Step 3: Cross multiply
    518.09x = 715.05 × 321.62
  4. Step 4: Simplify right side
    518.09x = 229,970.81
  5. Step 5: Solve for x
    x = 229,970.81/518.09
  6. Step 6: Final answer
    x = 443.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.