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Finding the Fourth Proportional to 421.30, 630.80 and 353.19

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Solution

The fourth proportional to 421.30, 630.80 and 353.19 is: 528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.30 : 630.80 = 353.19 : x
  2. Step 2: Convert to fraction form
    421.30/630.80 = 353.19/x
  3. Step 3: Cross multiply
    421.30x = 630.80 × 353.19
  4. Step 4: Simplify right side
    421.30x = 222,792.25
  5. Step 5: Solve for x
    x = 222,792.25/421.30
  6. Step 6: Final answer
    x = 528.82

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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.