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Finding the Fourth Proportional to 553.32, 763.56 and 320.45

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Solution

The fourth proportional to 553.32, 763.56 and 320.45 is: 442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.32 : 763.56 = 320.45 : x
  2. Step 2: Convert to fraction form
    553.32/763.56 = 320.45/x
  3. Step 3: Cross multiply
    553.32x = 763.56 × 320.45
  4. Step 4: Simplify right side
    553.32x = 244,678.98
  5. Step 5: Solve for x
    x = 244,678.98/553.32
  6. Step 6: Final answer
    x = 442.20

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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.