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Finding the Fourth Proportional to 473.60, 709.60 and 290.44

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Solution

The fourth proportional to 473.60, 709.60 and 290.44 is: 435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.60 : 709.60 = 290.44 : x
  2. Step 2: Convert to fraction form
    473.60/709.60 = 290.44/x
  3. Step 3: Cross multiply
    473.60x = 709.60 × 290.44
  4. Step 4: Simplify right side
    473.60x = 206,096.22
  5. Step 5: Solve for x
    x = 206,096.22/473.60
  6. Step 6: Final answer
    x = 435.17

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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.