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Finding the Fourth Proportional to 431.48, 645.66 and 380.46

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Solution

The fourth proportional to 431.48, 645.66 and 380.46 is: 569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.48 : 645.66 = 380.46 : x
  2. Step 2: Convert to fraction form
    431.48/645.66 = 380.46/x
  3. Step 3: Cross multiply
    431.48x = 645.66 × 380.46
  4. Step 4: Simplify right side
    431.48x = 245,647.80
  5. Step 5: Solve for x
    x = 245,647.80/431.48
  6. Step 6: Final answer
    x = 569.31

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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.