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Finding the Fourth Proportional to 473.87, 710.84 and 268.54

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Solution

The fourth proportional to 473.87, 710.84 and 268.54 is: 402.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.87 : 710.84 = 268.54 : x
  2. Step 2: Convert to fraction form
    473.87/710.84 = 268.54/x
  3. Step 3: Cross multiply
    473.87x = 710.84 × 268.54
  4. Step 4: Simplify right side
    473.87x = 190,887.87
  5. Step 5: Solve for x
    x = 190,887.87/473.87
  6. Step 6: Final answer
    x = 402.83

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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.