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Finding the Fourth Proportional to 553.14, 763.40 and 320.27

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Solution

The fourth proportional to 553.14, 763.40 and 320.27 is: 442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.14 : 763.40 = 320.27 : x
  2. Step 2: Convert to fraction form
    553.14/763.40 = 320.27/x
  3. Step 3: Cross multiply
    553.14x = 763.40 × 320.27
  4. Step 4: Simplify right side
    553.14x = 244,494.12
  5. Step 5: Solve for x
    x = 244,494.12/553.14
  6. Step 6: Final answer
    x = 442.01

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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.