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Finding the Fourth Proportional to 553.47, 763.34 and 366.87

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Solution

The fourth proportional to 553.47, 763.34 and 366.87 is: 505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.47 : 763.34 = 366.87 : x
  2. Step 2: Convert to fraction form
    553.47/763.34 = 366.87/x
  3. Step 3: Cross multiply
    553.47x = 763.34 × 366.87
  4. Step 4: Simplify right side
    553.47x = 280,046.55
  5. Step 5: Solve for x
    x = 280,046.55/553.47
  6. Step 6: Final answer
    x = 505.98

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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.