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Finding the Fourth Proportional to 473.73, 710.75 and 181.32

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Solution

The fourth proportional to 473.73, 710.75 and 181.32 is: 272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.73 : 710.75 = 181.32 : x
  2. Step 2: Convert to fraction form
    473.73/710.75 = 181.32/x
  3. Step 3: Cross multiply
    473.73x = 710.75 × 181.32
  4. Step 4: Simplify right side
    473.73x = 128,872.28
  5. Step 5: Solve for x
    x = 128,872.28/473.73
  6. Step 6: Final answer
    x = 272.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.