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Finding the Fourth Proportional to 582.75, 874.49 and 240.75

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Solution

The fourth proportional to 582.75, 874.49 and 240.75 is: 361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.75 : 874.49 = 240.75 : x
  2. Step 2: Convert to fraction form
    582.75/874.49 = 240.75/x
  3. Step 3: Cross multiply
    582.75x = 874.49 × 240.75
  4. Step 4: Simplify right side
    582.75x = 210,532.26
  5. Step 5: Solve for x
    x = 210,532.26/582.75
  6. Step 6: Final answer
    x = 361.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.