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Finding the Fourth Proportional to 522.02, 782.64 and 175.28

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Solution

The fourth proportional to 522.02, 782.64 and 175.28 is: 262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.02 : 782.64 = 175.28 : x
  2. Step 2: Convert to fraction form
    522.02/782.64 = 175.28/x
  3. Step 3: Cross multiply
    522.02x = 782.64 × 175.28
  4. Step 4: Simplify right side
    522.02x = 137,181.14
  5. Step 5: Solve for x
    x = 137,181.14/522.02
  6. Step 6: Final answer
    x = 262.79

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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.