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Finding the Fourth Proportional to 522.24, 782.43 and 465.75

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Solution

The fourth proportional to 522.24, 782.43 and 465.75 is: 697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.24 : 782.43 = 465.75 : x
  2. Step 2: Convert to fraction form
    522.24/782.43 = 465.75/x
  3. Step 3: Cross multiply
    522.24x = 782.43 × 465.75
  4. Step 4: Simplify right side
    522.24x = 364,416.77
  5. Step 5: Solve for x
    x = 364,416.77/522.24
  6. Step 6: Final answer
    x = 697.80

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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.