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Finding the Fourth Proportional to 419.10, 628.65 and 346.20

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Solution

The fourth proportional to 419.10, 628.65 and 346.20 is: 519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.10 : 628.65 = 346.20 : x
  2. Step 2: Convert to fraction form
    419.10/628.65 = 346.20/x
  3. Step 3: Cross multiply
    419.10x = 628.65 × 346.20
  4. Step 4: Simplify right side
    419.10x = 217,638.63
  5. Step 5: Solve for x
    x = 217,638.63/419.10
  6. Step 6: Final answer
    x = 519.30

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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.