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Finding the Fourth Proportional to 473.34, 710.33 and 181.11

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Solution

The fourth proportional to 473.34, 710.33 and 181.11 is: 271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.34 : 710.33 = 181.11 : x
  2. Step 2: Convert to fraction form
    473.34/710.33 = 181.11/x
  3. Step 3: Cross multiply
    473.34x = 710.33 × 181.11
  4. Step 4: Simplify right side
    473.34x = 128,646.96
  5. Step 5: Solve for x
    x = 128,646.96/473.34
  6. Step 6: Final answer
    x = 271.79

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