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Finding the Fourth Proportional to 394.08, 542.64 and 365.04

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Solution

The fourth proportional to 394.08, 542.64 and 365.04 is: 502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.08 : 542.64 = 365.04 : x
  2. Step 2: Convert to fraction form
    394.08/542.64 = 365.04/x
  3. Step 3: Cross multiply
    394.08x = 542.64 × 365.04
  4. Step 4: Simplify right side
    394.08x = 198,085.31
  5. Step 5: Solve for x
    x = 198,085.31/394.08
  6. Step 6: Final answer
    x = 502.65

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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.