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Finding the Fourth Proportional to 566.10, 781.96 and 455.98

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Solution

The fourth proportional to 566.10, 781.96 and 455.98 is: 629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.10 : 781.96 = 455.98 : x
  2. Step 2: Convert to fraction form
    566.10/781.96 = 455.98/x
  3. Step 3: Cross multiply
    566.10x = 781.96 × 455.98
  4. Step 4: Simplify right side
    566.10x = 356,558.12
  5. Step 5: Solve for x
    x = 356,558.12/566.10
  6. Step 6: Final answer
    x = 629.85

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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.