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Finding the Fourth Proportional to 376.32, 565.13 and 356.85

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Solution

The fourth proportional to 376.32, 565.13 and 356.85 is: 535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.32 : 565.13 = 356.85 : x
  2. Step 2: Convert to fraction form
    376.32/565.13 = 356.85/x
  3. Step 3: Cross multiply
    376.32x = 565.13 × 356.85
  4. Step 4: Simplify right side
    376.32x = 201,664.86
  5. Step 5: Solve for x
    x = 201,664.86/376.32
  6. Step 6: Final answer
    x = 535.89

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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.