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Finding the Fourth Proportional to 364.38, 502.05 and 305.16

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Solution

The fourth proportional to 364.38, 502.05 and 305.16 is: 420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.38 : 502.05 = 305.16 : x
  2. Step 2: Convert to fraction form
    364.38/502.05 = 305.16/x
  3. Step 3: Cross multiply
    364.38x = 502.05 × 305.16
  4. Step 4: Simplify right side
    364.38x = 153,205.58
  5. Step 5: Solve for x
    x = 153,205.58/364.38
  6. Step 6: Final answer
    x = 420.46

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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.