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Finding the Fourth Proportional to 540.30, 813.92 and 467.40

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Solution

The fourth proportional to 540.30, 813.92 and 467.40 is: 704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.30 : 813.92 = 467.40 : x
  2. Step 2: Convert to fraction form
    540.30/813.92 = 467.40/x
  3. Step 3: Cross multiply
    540.30x = 813.92 × 467.40
  4. Step 4: Simplify right side
    540.30x = 380,423.87
  5. Step 5: Solve for x
    x = 380,423.87/540.30
  6. Step 6: Final answer
    x = 704.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.