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Finding the Fourth Proportional to 629.64, 869.76 and 504.84

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Solution

The fourth proportional to 629.64, 869.76 and 504.84 is: 697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.64 : 869.76 = 504.84 : x
  2. Step 2: Convert to fraction form
    629.64/869.76 = 504.84/x
  3. Step 3: Cross multiply
    629.64x = 869.76 × 504.84
  4. Step 4: Simplify right side
    629.64x = 439,089.64
  5. Step 5: Solve for x
    x = 439,089.64/629.64
  6. Step 6: Final answer
    x = 697.37

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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.