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Finding the Fourth Proportional to 553.89, 763.98 and 388.05

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Solution

The fourth proportional to 553.89, 763.98 and 388.05 is: 535.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.89 : 763.98 = 388.05 : x
  2. Step 2: Convert to fraction form
    553.89/763.98 = 388.05/x
  3. Step 3: Cross multiply
    553.89x = 763.98 × 388.05
  4. Step 4: Simplify right side
    553.89x = 296,462.44
  5. Step 5: Solve for x
    x = 296,462.44/553.89
  6. Step 6: Final answer
    x = 535.24

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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.