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Finding the Fourth Proportional to 419.69, 630.75 and 203.42

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Solution

The fourth proportional to 419.69, 630.75 and 203.42 is: 305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.69 : 630.75 = 203.42 : x
  2. Step 2: Convert to fraction form
    419.69/630.75 = 203.42/x
  3. Step 3: Cross multiply
    419.69x = 630.75 × 203.42
  4. Step 4: Simplify right side
    419.69x = 128,304.01
  5. Step 5: Solve for x
    x = 128,304.01/419.69
  6. Step 6: Final answer
    x = 305.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.