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Finding the Fourth Proportional to 471.90, 707.82 and 380.10

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Solution

The fourth proportional to 471.90, 707.82 and 380.10 is: 570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.90 : 707.82 = 380.10 : x
  2. Step 2: Convert to fraction form
    471.90/707.82 = 380.10/x
  3. Step 3: Cross multiply
    471.90x = 707.82 × 380.10
  4. Step 4: Simplify right side
    471.90x = 269,042.38
  5. Step 5: Solve for x
    x = 269,042.38/471.90
  6. Step 6: Final answer
    x = 570.13

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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.