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Finding the Fourth Proportional to 553.28, 763.43 and 357.05

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Solution

The fourth proportional to 553.28, 763.43 and 357.05 is: 492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.28 : 763.43 = 357.05 : x
  2. Step 2: Convert to fraction form
    553.28/763.43 = 357.05/x
  3. Step 3: Cross multiply
    553.28x = 763.43 × 357.05
  4. Step 4: Simplify right side
    553.28x = 272,577.08
  5. Step 5: Solve for x
    x = 272,577.08/553.28
  6. Step 6: Final answer
    x = 492.66

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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.