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Finding the Fourth Proportional to 520.60, 778.56 and 382

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Solution

The fourth proportional to 520.60, 778.56 and 382 is: 571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.60 : 778.56 = 382 : x
  2. Step 2: Convert to fraction form
    520.60/778.56 = 382/x
  3. Step 3: Cross multiply
    520.60x = 778.56 × 382
  4. Step 4: Simplify right side
    520.60x = 297,409.92
  5. Step 5: Solve for x
    x = 297,409.92/520.60
  6. Step 6: Final answer
    x = 571.28

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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.