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Finding the Fourth Proportional to 473.94, 710.65 and 181.43

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Solution

The fourth proportional to 473.94, 710.65 and 181.43 is: 272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.94 : 710.65 = 181.43 : x
  2. Step 2: Convert to fraction form
    473.94/710.65 = 181.43/x
  3. Step 3: Cross multiply
    473.94x = 710.65 × 181.43
  4. Step 4: Simplify right side
    473.94x = 128,933.23
  5. Step 5: Solve for x
    x = 128,933.23/473.94
  6. Step 6: Final answer
    x = 272.05

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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.