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Finding the Fourth Proportional to 511.68, 706.77 and 423.51

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Solution

The fourth proportional to 511.68, 706.77 and 423.51 is: 584.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.68 : 706.77 = 423.51 : x
  2. Step 2: Convert to fraction form
    511.68/706.77 = 423.51/x
  3. Step 3: Cross multiply
    511.68x = 706.77 × 423.51
  4. Step 4: Simplify right side
    511.68x = 299,324.30
  5. Step 5: Solve for x
    x = 299,324.30/511.68
  6. Step 6: Final answer
    x = 584.99

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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.