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Finding the Fourth Proportional to 473.40, 706.30 and 421.43

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Solution

The fourth proportional to 473.40, 706.30 and 421.43 is: 628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.40 : 706.30 = 421.43 : x
  2. Step 2: Convert to fraction form
    473.40/706.30 = 421.43/x
  3. Step 3: Cross multiply
    473.40x = 706.30 × 421.43
  4. Step 4: Simplify right side
    473.40x = 297,651.42
  5. Step 5: Solve for x
    x = 297,651.42/473.40
  6. Step 6: Final answer
    x = 628.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.