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Finding the Fourth Proportional to 419.04, 628.13 and 144.93

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Solution

The fourth proportional to 419.04, 628.13 and 144.93 is: 217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.04 : 628.13 = 144.93 : x
  2. Step 2: Convert to fraction form
    419.04/628.13 = 144.93/x
  3. Step 3: Cross multiply
    419.04x = 628.13 × 144.93
  4. Step 4: Simplify right side
    419.04x = 91,034.16
  5. Step 5: Solve for x
    x = 91,034.16/419.04
  6. Step 6: Final answer
    x = 217.24

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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.