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Finding the Fourth Proportional to 553.58, 763.81 and 320.57

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Solution

The fourth proportional to 553.58, 763.81 and 320.57 is: 442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.58 : 763.81 = 320.57 : x
  2. Step 2: Convert to fraction form
    553.58/763.81 = 320.57/x
  3. Step 3: Cross multiply
    553.58x = 763.81 × 320.57
  4. Step 4: Simplify right side
    553.58x = 244,849.15
  5. Step 5: Solve for x
    x = 244,849.15/553.58
  6. Step 6: Final answer
    x = 442.31

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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.