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Finding the Fourth Proportional to 590.44, 883.14 and 346.36

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Solution

The fourth proportional to 590.44, 883.14 and 346.36 is: 518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.44 : 883.14 = 346.36 : x
  2. Step 2: Convert to fraction form
    590.44/883.14 = 346.36/x
  3. Step 3: Cross multiply
    590.44x = 883.14 × 346.36
  4. Step 4: Simplify right side
    590.44x = 305,884.37
  5. Step 5: Solve for x
    x = 305,884.37/590.44
  6. Step 6: Final answer
    x = 518.06

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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.