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Finding the Fourth Proportional to 522.30, 782.44 and 412.04

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Solution

The fourth proportional to 522.30, 782.44 and 412.04 is: 617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.30 : 782.44 = 412.04 : x
  2. Step 2: Convert to fraction form
    522.30/782.44 = 412.04/x
  3. Step 3: Cross multiply
    522.30x = 782.44 × 412.04
  4. Step 4: Simplify right side
    522.30x = 322,396.58
  5. Step 5: Solve for x
    x = 322,396.58/522.30
  6. Step 6: Final answer
    x = 617.26

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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.