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Finding the Fourth Proportional to 511.71, 705.89 and 438.21

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Solution

The fourth proportional to 511.71, 705.89 and 438.21 is: 604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.71 : 705.89 = 438.21 : x
  2. Step 2: Convert to fraction form
    511.71/705.89 = 438.21/x
  3. Step 3: Cross multiply
    511.71x = 705.89 × 438.21
  4. Step 4: Simplify right side
    511.71x = 309,325.87
  5. Step 5: Solve for x
    x = 309,325.87/511.71
  6. Step 6: Final answer
    x = 604.49

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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.