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Finding the Fourth Proportional to 473.68, 653.57 and 277.22

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Solution

The fourth proportional to 473.68, 653.57 and 277.22 is: 382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.68 : 653.57 = 277.22 : x
  2. Step 2: Convert to fraction form
    473.68/653.57 = 277.22/x
  3. Step 3: Cross multiply
    473.68x = 653.57 × 277.22
  4. Step 4: Simplify right side
    473.68x = 181,183.96
  5. Step 5: Solve for x
    x = 181,183.96/473.68
  6. Step 6: Final answer
    x = 382.50

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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.