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Finding the Fourth Proportional to 419.58, 628.74 and 343.08

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Solution

The fourth proportional to 419.58, 628.74 and 343.08 is: 514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.58 : 628.74 = 343.08 : x
  2. Step 2: Convert to fraction form
    419.58/628.74 = 343.08/x
  3. Step 3: Cross multiply
    419.58x = 628.74 × 343.08
  4. Step 4: Simplify right side
    419.58x = 215,708.12
  5. Step 5: Solve for x
    x = 215,708.12/419.58
  6. Step 6: Final answer
    x = 514.10

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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.