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Finding the Fourth Proportional to 377.56, 565.26 and 347.32

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Solution

The fourth proportional to 377.56, 565.26 and 347.32 is: 519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.56 : 565.26 = 347.32 : x
  2. Step 2: Convert to fraction form
    377.56/565.26 = 347.32/x
  3. Step 3: Cross multiply
    377.56x = 565.26 × 347.32
  4. Step 4: Simplify right side
    377.56x = 196,326.10
  5. Step 5: Solve for x
    x = 196,326.10/377.56
  6. Step 6: Final answer
    x = 519.99

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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.