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Finding the Fourth Proportional to 430.68, 641.88 and 427.11

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Solution

The fourth proportional to 430.68, 641.88 and 427.11 is: 636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.68 : 641.88 = 427.11 : x
  2. Step 2: Convert to fraction form
    430.68/641.88 = 427.11/x
  3. Step 3: Cross multiply
    430.68x = 641.88 × 427.11
  4. Step 4: Simplify right side
    430.68x = 274,153.37
  5. Step 5: Solve for x
    x = 274,153.37/430.68
  6. Step 6: Final answer
    x = 636.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.