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Finding the Fourth Proportional to 403.90, 557.34 and 229.26

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Solution

The fourth proportional to 403.90, 557.34 and 229.26 is: 316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.90 : 557.34 = 229.26 : x
  2. Step 2: Convert to fraction form
    403.90/557.34 = 229.26/x
  3. Step 3: Cross multiply
    403.90x = 557.34 × 229.26
  4. Step 4: Simplify right side
    403.90x = 127,775.77
  5. Step 5: Solve for x
    x = 127,775.77/403.90
  6. Step 6: Final answer
    x = 316.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.