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Finding the Fourth Proportional to 558.29, 837.44 and 314.31

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Solution

The fourth proportional to 558.29, 837.44 and 314.31 is: 471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.29 : 837.44 = 314.31 : x
  2. Step 2: Convert to fraction form
    558.29/837.44 = 314.31/x
  3. Step 3: Cross multiply
    558.29x = 837.44 × 314.31
  4. Step 4: Simplify right side
    558.29x = 263,218.51
  5. Step 5: Solve for x
    x = 263,218.51/558.29
  6. Step 6: Final answer
    x = 471.47

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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.