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Finding the Fourth Proportional to 589.52, 811.86 and 414.56

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Solution

The fourth proportional to 589.52, 811.86 and 414.56 is: 570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.52 : 811.86 = 414.56 : x
  2. Step 2: Convert to fraction form
    589.52/811.86 = 414.56/x
  3. Step 3: Cross multiply
    589.52x = 811.86 × 414.56
  4. Step 4: Simplify right side
    589.52x = 336,564.68
  5. Step 5: Solve for x
    x = 336,564.68/589.52
  6. Step 6: Final answer
    x = 570.91

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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.