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Finding the Fourth Proportional to 566.53, 782.10 and 391.57

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Solution

The fourth proportional to 566.53, 782.10 and 391.57 is: 540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.53 : 782.10 = 391.57 : x
  2. Step 2: Convert to fraction form
    566.53/782.10 = 391.57/x
  3. Step 3: Cross multiply
    566.53x = 782.10 × 391.57
  4. Step 4: Simplify right side
    566.53x = 306,244.94
  5. Step 5: Solve for x
    x = 306,244.94/566.53
  6. Step 6: Final answer
    x = 540.57

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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.