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Finding the Fourth Proportional to 522.42, 782.40 and 441.06

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Solution

The fourth proportional to 522.42, 782.40 and 441.06 is: 660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.42 : 782.40 = 441.06 : x
  2. Step 2: Convert to fraction form
    522.42/782.40 = 441.06/x
  3. Step 3: Cross multiply
    522.42x = 782.40 × 441.06
  4. Step 4: Simplify right side
    522.42x = 345,085.34
  5. Step 5: Solve for x
    x = 345,085.34/522.42
  6. Step 6: Final answer
    x = 660.55

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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.