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Finding the Fourth Proportional to 482.56, 669.85 and 471.04

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Solution

The fourth proportional to 482.56, 669.85 and 471.04 is: 653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.56 : 669.85 = 471.04 : x
  2. Step 2: Convert to fraction form
    482.56/669.85 = 471.04/x
  3. Step 3: Cross multiply
    482.56x = 669.85 × 471.04
  4. Step 4: Simplify right side
    482.56x = 315,526.14
  5. Step 5: Solve for x
    x = 315,526.14/482.56
  6. Step 6: Final answer
    x = 653.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.