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Finding the Fourth Proportional to 419.46, 628.45 and 202.57

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Solution

The fourth proportional to 419.46, 628.45 and 202.57 is: 303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.46 : 628.45 = 202.57 : x
  2. Step 2: Convert to fraction form
    419.46/628.45 = 202.57/x
  3. Step 3: Cross multiply
    419.46x = 628.45 × 202.57
  4. Step 4: Simplify right side
    419.46x = 127,305.12
  5. Step 5: Solve for x
    x = 127,305.12/419.46
  6. Step 6: Final answer
    x = 303.50

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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.