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Finding the Fourth Proportional to 553.04, 764.06 and 471.08

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Solution

The fourth proportional to 553.04, 764.06 and 471.08 is: 650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.04 : 764.06 = 471.08 : x
  2. Step 2: Convert to fraction form
    553.04/764.06 = 471.08/x
  3. Step 3: Cross multiply
    553.04x = 764.06 × 471.08
  4. Step 4: Simplify right side
    553.04x = 359,933.38
  5. Step 5: Solve for x
    x = 359,933.38/553.04
  6. Step 6: Final answer
    x = 650.83

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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.