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Finding the Fourth Proportional to 376.96, 565.44 and 214.72

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Solution

The fourth proportional to 376.96, 565.44 and 214.72 is: 322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.96 : 565.44 = 214.72 : x
  2. Step 2: Convert to fraction form
    376.96/565.44 = 214.72/x
  3. Step 3: Cross multiply
    376.96x = 565.44 × 214.72
  4. Step 4: Simplify right side
    376.96x = 121,411.28
  5. Step 5: Solve for x
    x = 121,411.28/376.96
  6. Step 6: Final answer
    x = 322.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.