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Finding the Fourth Proportional to 553.45, 763.32 and 356.98

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Solution

The fourth proportional to 553.45, 763.32 and 356.98 is: 492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.45 : 763.32 = 356.98 : x
  2. Step 2: Convert to fraction form
    553.45/763.32 = 356.98/x
  3. Step 3: Cross multiply
    553.45x = 763.32 × 356.98
  4. Step 4: Simplify right side
    553.45x = 272,489.97
  5. Step 5: Solve for x
    x = 272,489.97/553.45
  6. Step 6: Final answer
    x = 492.35

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Why These Related Problems?

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