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Finding the Fourth Proportional to 629.49, 869.10 and 563.88

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Solution

The fourth proportional to 629.49, 869.10 and 563.88 is: 778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.49 : 869.10 = 563.88 : x
  2. Step 2: Convert to fraction form
    629.49/869.10 = 563.88/x
  3. Step 3: Cross multiply
    629.49x = 869.10 × 563.88
  4. Step 4: Simplify right side
    629.49x = 490,068.11
  5. Step 5: Solve for x
    x = 490,068.11/629.49
  6. Step 6: Final answer
    x = 778.52

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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.