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Finding the Fourth Proportional to 587.44, 809.89 and 505.43

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Solution

The fourth proportional to 587.44, 809.89 and 505.43 is: 696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.44 : 809.89 = 505.43 : x
  2. Step 2: Convert to fraction form
    587.44/809.89 = 505.43/x
  3. Step 3: Cross multiply
    587.44x = 809.89 × 505.43
  4. Step 4: Simplify right side
    587.44x = 409,337.39
  5. Step 5: Solve for x
    x = 409,337.39/587.44
  6. Step 6: Final answer
    x = 696.82

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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.