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Finding the Fourth Proportional to 594.38, 818.54 and 582.14

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Solution

The fourth proportional to 594.38, 818.54 and 582.14 is: 801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.38 : 818.54 = 582.14 : x
  2. Step 2: Convert to fraction form
    594.38/818.54 = 582.14/x
  3. Step 3: Cross multiply
    594.38x = 818.54 × 582.14
  4. Step 4: Simplify right side
    594.38x = 476,504.88
  5. Step 5: Solve for x
    x = 476,504.88/594.38
  6. Step 6: Final answer
    x = 801.68

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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.