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Finding the Fourth Proportional to 566.31, 782.13 and 380.55

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Solution

The fourth proportional to 566.31, 782.13 and 380.55 is: 525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.31 : 782.13 = 380.55 : x
  2. Step 2: Convert to fraction form
    566.31/782.13 = 380.55/x
  3. Step 3: Cross multiply
    566.31x = 782.13 × 380.55
  4. Step 4: Simplify right side
    566.31x = 297,639.57
  5. Step 5: Solve for x
    x = 297,639.57/566.31
  6. Step 6: Final answer
    x = 525.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.