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Finding the Fourth Proportional to 589.52, 811.77 and 514.82

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Solution

The fourth proportional to 589.52, 811.77 and 514.82 is: 708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.52 : 811.77 = 514.82 : x
  2. Step 2: Convert to fraction form
    589.52/811.77 = 514.82/x
  3. Step 3: Cross multiply
    589.52x = 811.77 × 514.82
  4. Step 4: Simplify right side
    589.52x = 417,915.43
  5. Step 5: Solve for x
    x = 417,915.43/589.52
  6. Step 6: Final answer
    x = 708.91

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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.