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Finding the Fourth Proportional to 419.13, 628.74 and 175.68

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Solution

The fourth proportional to 419.13, 628.74 and 175.68 is: 263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.13 : 628.74 = 175.68 : x
  2. Step 2: Convert to fraction form
    419.13/628.74 = 175.68/x
  3. Step 3: Cross multiply
    419.13x = 628.74 × 175.68
  4. Step 4: Simplify right side
    419.13x = 110,457.04
  5. Step 5: Solve for x
    x = 110,457.04/419.13
  6. Step 6: Final answer
    x = 263.54

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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.