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Finding the Fourth Proportional to 518.69, 715.78 and 322.25

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Solution

The fourth proportional to 518.69, 715.78 and 322.25 is: 444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.69 : 715.78 = 322.25 : x
  2. Step 2: Convert to fraction form
    518.69/715.78 = 322.25/x
  3. Step 3: Cross multiply
    518.69x = 715.78 × 322.25
  4. Step 4: Simplify right side
    518.69x = 230,660.11
  5. Step 5: Solve for x
    x = 230,660.11/518.69
  6. Step 6: Final answer
    x = 444.70

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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.