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Finding the Fourth Proportional to 417.70, 625.43 and 352.49

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Solution

The fourth proportional to 417.70, 625.43 and 352.49 is: 527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.70 : 625.43 = 352.49 : x
  2. Step 2: Convert to fraction form
    417.70/625.43 = 352.49/x
  3. Step 3: Cross multiply
    417.70x = 625.43 × 352.49
  4. Step 4: Simplify right side
    417.70x = 220,460.27
  5. Step 5: Solve for x
    x = 220,460.27/417.70
  6. Step 6: Final answer
    x = 527.80

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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.