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Finding the Fourth Proportional to 475.63, 712.51 and 269.58

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Solution

The fourth proportional to 475.63, 712.51 and 269.58 is: 403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.63 : 712.51 = 269.58 : x
  2. Step 2: Convert to fraction form
    475.63/712.51 = 269.58/x
  3. Step 3: Cross multiply
    475.63x = 712.51 × 269.58
  4. Step 4: Simplify right side
    475.63x = 192,078.45
  5. Step 5: Solve for x
    x = 192,078.45/475.63
  6. Step 6: Final answer
    x = 403.84

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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.