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Finding the Fourth Proportional to 473.57, 710.46 and 230.21

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Solution

The fourth proportional to 473.57, 710.46 and 230.21 is: 345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.57 : 710.46 = 230.21 : x
  2. Step 2: Convert to fraction form
    473.57/710.46 = 230.21/x
  3. Step 3: Cross multiply
    473.57x = 710.46 × 230.21
  4. Step 4: Simplify right side
    473.57x = 163,555.00
  5. Step 5: Solve for x
    x = 163,555.00/473.57
  6. Step 6: Final answer
    x = 345.37

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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.