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Finding the Fourth Proportional to 364.56, 502.32 and 277.08

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Solution

The fourth proportional to 364.56, 502.32 and 277.08 is: 381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.56 : 502.32 = 277.08 : x
  2. Step 2: Convert to fraction form
    364.56/502.32 = 277.08/x
  3. Step 3: Cross multiply
    364.56x = 502.32 × 277.08
  4. Step 4: Simplify right side
    364.56x = 139,182.83
  5. Step 5: Solve for x
    x = 139,182.83/364.56
  6. Step 6: Final answer
    x = 381.78

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Why These Related Problems?

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