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Finding the Fourth Proportional to 420.30, 626.98 and 352.26

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Solution

The fourth proportional to 420.30, 626.98 and 352.26 is: 525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.30 : 626.98 = 352.26 : x
  2. Step 2: Convert to fraction form
    420.30/626.98 = 352.26/x
  3. Step 3: Cross multiply
    420.30x = 626.98 × 352.26
  4. Step 4: Simplify right side
    420.30x = 220,859.97
  5. Step 5: Solve for x
    x = 220,859.97/420.30
  6. Step 6: Final answer
    x = 525.48

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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.