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Finding the Fourth Proportional to 430.11, 645.17 and 276.11

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Solution

The fourth proportional to 430.11, 645.17 and 276.11 is: 414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.11 : 645.17 = 276.11 : x
  2. Step 2: Convert to fraction form
    430.11/645.17 = 276.11/x
  3. Step 3: Cross multiply
    430.11x = 645.17 × 276.11
  4. Step 4: Simplify right side
    430.11x = 178,137.89
  5. Step 5: Solve for x
    x = 178,137.89/430.11
  6. Step 6: Final answer
    x = 414.17

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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.