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Finding the Fourth Proportional to 430.76, 644.64 and 338.70

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Solution

The fourth proportional to 430.76, 644.64 and 338.70 is: 506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.76 : 644.64 = 338.70 : x
  2. Step 2: Convert to fraction form
    430.76/644.64 = 338.70/x
  3. Step 3: Cross multiply
    430.76x = 644.64 × 338.70
  4. Step 4: Simplify right side
    430.76x = 218,339.57
  5. Step 5: Solve for x
    x = 218,339.57/430.76
  6. Step 6: Final answer
    x = 506.87

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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.