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Finding the Fourth Proportional to 377.46, 565.77 and 214.98

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Solution

The fourth proportional to 377.46, 565.77 and 214.98 is: 322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.46 : 565.77 = 214.98 : x
  2. Step 2: Convert to fraction form
    377.46/565.77 = 214.98/x
  3. Step 3: Cross multiply
    377.46x = 565.77 × 214.98
  4. Step 4: Simplify right side
    377.46x = 121,629.23
  5. Step 5: Solve for x
    x = 121,629.23/377.46
  6. Step 6: Final answer
    x = 322.23

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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.