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Finding the Fourth Proportional to 419.84, 630.12 and 203.48

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Solution

The fourth proportional to 419.84, 630.12 and 203.48 is: 305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.84 : 630.12 = 203.48 : x
  2. Step 2: Convert to fraction form
    419.84/630.12 = 203.48/x
  3. Step 3: Cross multiply
    419.84x = 630.12 × 203.48
  4. Step 4: Simplify right side
    419.84x = 128,216.82
  5. Step 5: Solve for x
    x = 128,216.82/419.84
  6. Step 6: Final answer
    x = 305.39

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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.