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Finding the Fourth Proportional to 473.72, 653.46 and 277.21

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Solution

The fourth proportional to 473.72, 653.46 and 277.21 is: 382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.72 : 653.46 = 277.21 : x
  2. Step 2: Convert to fraction form
    473.72/653.46 = 277.21/x
  3. Step 3: Cross multiply
    473.72x = 653.46 × 277.21
  4. Step 4: Simplify right side
    473.72x = 181,145.65
  5. Step 5: Solve for x
    x = 181,145.65/473.72
  6. Step 6: Final answer
    x = 382.39

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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.