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Finding the Fourth Proportional to 540, 810.54 and 394.20

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Solution

The fourth proportional to 540, 810.54 and 394.20 is: 591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    540 : 810.54 = 394.20 : x
  2. Step 2: Convert to fraction form
    540/810.54 = 394.20/x
  3. Step 3: Cross multiply
    540x = 810.54 × 394.20
  4. Step 4: Simplify right side
    540x = 319,514.87
  5. Step 5: Solve for x
    x = 319,514.87/540
  6. Step 6: Final answer
    x = 591.69

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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.