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Finding the Fourth Proportional to 522.35, 782.91 and 287.58

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Solution

The fourth proportional to 522.35, 782.91 and 287.58 is: 431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.35 : 782.91 = 287.58 : x
  2. Step 2: Convert to fraction form
    522.35/782.91 = 287.58/x
  3. Step 3: Cross multiply
    522.35x = 782.91 × 287.58
  4. Step 4: Simplify right side
    522.35x = 225,149.26
  5. Step 5: Solve for x
    x = 225,149.26/522.35
  6. Step 6: Final answer
    x = 431.04

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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.