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Finding the Fourth Proportional to 553.76, 764.16 and 332.64

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Solution

The fourth proportional to 553.76, 764.16 and 332.64 is: 459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.76 : 764.16 = 332.64 : x
  2. Step 2: Convert to fraction form
    553.76/764.16 = 332.64/x
  3. Step 3: Cross multiply
    553.76x = 764.16 × 332.64
  4. Step 4: Simplify right side
    553.76x = 254,190.18
  5. Step 5: Solve for x
    x = 254,190.18/553.76
  6. Step 6: Final answer
    x = 459.03

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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.