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Finding the Fourth Proportional to 420.92, 630.84 and 352.34

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Solution

The fourth proportional to 420.92, 630.84 and 352.34 is: 528.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.92 : 630.84 = 352.34 : x
  2. Step 2: Convert to fraction form
    420.92/630.84 = 352.34/x
  3. Step 3: Cross multiply
    420.92x = 630.84 × 352.34
  4. Step 4: Simplify right side
    420.92x = 222,270.17
  5. Step 5: Solve for x
    x = 222,270.17/420.92
  6. Step 6: Final answer
    x = 528.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.