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Finding the Fourth Proportional to 542.12, 811.54 and 450.32

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Solution

The fourth proportional to 542.12, 811.54 and 450.32 is: 674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.12 : 811.54 = 450.32 : x
  2. Step 2: Convert to fraction form
    542.12/811.54 = 450.32/x
  3. Step 3: Cross multiply
    542.12x = 811.54 × 450.32
  4. Step 4: Simplify right side
    542.12x = 365,452.69
  5. Step 5: Solve for x
    x = 365,452.69/542.12
  6. Step 6: Final answer
    x = 674.12

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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.