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Finding the Fourth Proportional to 542.64, 813.92 and 326.08

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Solution

The fourth proportional to 542.64, 813.92 and 326.08 is: 489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.64 : 813.92 = 326.08 : x
  2. Step 2: Convert to fraction form
    542.64/813.92 = 326.08/x
  3. Step 3: Cross multiply
    542.64x = 813.92 × 326.08
  4. Step 4: Simplify right side
    542.64x = 265,403.03
  5. Step 5: Solve for x
    x = 265,403.03/542.64
  6. Step 6: Final answer
    x = 489.10

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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.