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Finding the Fourth Proportional to 511.68, 705.83 and 324.84

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Solution

The fourth proportional to 511.68, 705.83 and 324.84 is: 448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.68 : 705.83 = 324.84 : x
  2. Step 2: Convert to fraction form
    511.68/705.83 = 324.84/x
  3. Step 3: Cross multiply
    511.68x = 705.83 × 324.84
  4. Step 4: Simplify right side
    511.68x = 229,281.82
  5. Step 5: Solve for x
    x = 229,281.82/511.68
  6. Step 6: Final answer
    x = 448.10

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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.