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Finding the Fourth Proportional to 403.55, 557.16 and 310.13

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Solution

The fourth proportional to 403.55, 557.16 and 310.13 is: 428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.55 : 557.16 = 310.13 : x
  2. Step 2: Convert to fraction form
    403.55/557.16 = 310.13/x
  3. Step 3: Cross multiply
    403.55x = 557.16 × 310.13
  4. Step 4: Simplify right side
    403.55x = 172,790.35
  5. Step 5: Solve for x
    x = 172,790.35/403.55
  6. Step 6: Final answer
    x = 428.18

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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.