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Finding the Fourth Proportional to 411.32, 566.90 and 377.80

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Solution

The fourth proportional to 411.32, 566.90 and 377.80 is: 520.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.32 : 566.90 = 377.80 : x
  2. Step 2: Convert to fraction form
    411.32/566.90 = 377.80/x
  3. Step 3: Cross multiply
    411.32x = 566.90 × 377.80
  4. Step 4: Simplify right side
    411.32x = 214,174.82
  5. Step 5: Solve for x
    x = 214,174.82/411.32
  6. Step 6: Final answer
    x = 520.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.