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Finding the Fourth Proportional to 542.36, 811.36 and 451.24

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Solution

The fourth proportional to 542.36, 811.36 and 451.24 is: 675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.36 : 811.36 = 451.24 : x
  2. Step 2: Convert to fraction form
    542.36/811.36 = 451.24/x
  3. Step 3: Cross multiply
    542.36x = 811.36 × 451.24
  4. Step 4: Simplify right side
    542.36x = 366,118.09
  5. Step 5: Solve for x
    x = 366,118.09/542.36
  6. Step 6: Final answer
    x = 675.05

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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.