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Finding the Fourth Proportional to 472.88, 653.46 and 348.68

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Solution

The fourth proportional to 472.88, 653.46 and 348.68 is: 481.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.88 : 653.46 = 348.68 : x
  2. Step 2: Convert to fraction form
    472.88/653.46 = 348.68/x
  3. Step 3: Cross multiply
    472.88x = 653.46 × 348.68
  4. Step 4: Simplify right side
    472.88x = 227,848.43
  5. Step 5: Solve for x
    x = 227,848.43/472.88
  6. Step 6: Final answer
    x = 481.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.