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Finding the Fourth Proportional to 587.34, 809.96 and 422.36

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Solution

The fourth proportional to 587.34, 809.96 and 422.36 is: 582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.34 : 809.96 = 422.36 : x
  2. Step 2: Convert to fraction form
    587.34/809.96 = 422.36/x
  3. Step 3: Cross multiply
    587.34x = 809.96 × 422.36
  4. Step 4: Simplify right side
    587.34x = 342,094.71
  5. Step 5: Solve for x
    x = 342,094.71/587.34
  6. Step 6: Final answer
    x = 582.45

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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.