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Finding the Fourth Proportional to 417.33, 626.23 and 352.03

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Solution

The fourth proportional to 417.33, 626.23 and 352.03 is: 528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.33 : 626.23 = 352.03 : x
  2. Step 2: Convert to fraction form
    417.33/626.23 = 352.03/x
  3. Step 3: Cross multiply
    417.33x = 626.23 × 352.03
  4. Step 4: Simplify right side
    417.33x = 220,451.75
  5. Step 5: Solve for x
    x = 220,451.75/417.33
  6. Step 6: Final answer
    x = 528.24

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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.