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Finding the Fourth Proportional to 417.12, 625.76 and 189.12

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Solution

The fourth proportional to 417.12, 625.76 and 189.12 is: 283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.12 : 625.76 = 189.12 : x
  2. Step 2: Convert to fraction form
    417.12/625.76 = 189.12/x
  3. Step 3: Cross multiply
    417.12x = 625.76 × 189.12
  4. Step 4: Simplify right side
    417.12x = 118,343.73
  5. Step 5: Solve for x
    x = 118,343.73/417.12
  6. Step 6: Final answer
    x = 283.72

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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.