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Finding the Fourth Proportional to 430.48, 645.02 and 419.09

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Solution

The fourth proportional to 430.48, 645.02 and 419.09 is: 627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.48 : 645.02 = 419.09 : x
  2. Step 2: Convert to fraction form
    430.48/645.02 = 419.09/x
  3. Step 3: Cross multiply
    430.48x = 645.02 × 419.09
  4. Step 4: Simplify right side
    430.48x = 270,321.43
  5. Step 5: Solve for x
    x = 270,321.43/430.48
  6. Step 6: Final answer
    x = 627.95

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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.