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Finding the Fourth Proportional to 473.40, 709.19 and 230.10

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Solution

The fourth proportional to 473.40, 709.19 and 230.10 is: 344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.40 : 709.19 = 230.10 : x
  2. Step 2: Convert to fraction form
    473.40/709.19 = 230.10/x
  3. Step 3: Cross multiply
    473.40x = 709.19 × 230.10
  4. Step 4: Simplify right side
    473.40x = 163,184.62
  5. Step 5: Solve for x
    x = 163,184.62/473.40
  6. Step 6: Final answer
    x = 344.71

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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.