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Finding the Fourth Proportional to 594.75, 884.58 and 582.45

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Solution

The fourth proportional to 594.75, 884.58 and 582.45 is: 866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.75 : 884.58 = 582.45 : x
  2. Step 2: Convert to fraction form
    594.75/884.58 = 582.45/x
  3. Step 3: Cross multiply
    594.75x = 884.58 × 582.45
  4. Step 4: Simplify right side
    594.75x = 515,223.62
  5. Step 5: Solve for x
    x = 515,223.62/594.75
  6. Step 6: Final answer
    x = 866.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.