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Finding the Fourth Proportional to 629.81, 869.19 and 350.10

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Solution

The fourth proportional to 629.81, 869.19 and 350.10 is: 483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.81 : 869.19 = 350.10 : x
  2. Step 2: Convert to fraction form
    629.81/869.19 = 350.10/x
  3. Step 3: Cross multiply
    629.81x = 869.19 × 350.10
  4. Step 4: Simplify right side
    629.81x = 304,303.26
  5. Step 5: Solve for x
    x = 304,303.26/629.81
  6. Step 6: Final answer
    x = 483.17

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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.