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Finding the Fourth Proportional to 421.02, 630.99 and 394.02

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Solution

The fourth proportional to 421.02, 630.99 and 394.02 is: 590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.02 : 630.99 = 394.02 : x
  2. Step 2: Convert to fraction form
    421.02/630.99 = 394.02/x
  3. Step 3: Cross multiply
    421.02x = 630.99 × 394.02
  4. Step 4: Simplify right side
    421.02x = 248,622.68
  5. Step 5: Solve for x
    x = 248,622.68/421.02
  6. Step 6: Final answer
    x = 590.52

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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.