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Finding the Fourth Proportional to 542.07, 811.49 and 297.86

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Solution

The fourth proportional to 542.07, 811.49 and 297.86 is: 445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.07 : 811.49 = 297.86 : x
  2. Step 2: Convert to fraction form
    542.07/811.49 = 297.86/x
  3. Step 3: Cross multiply
    542.07x = 811.49 × 297.86
  4. Step 4: Simplify right side
    542.07x = 241,704.86
  5. Step 5: Solve for x
    x = 241,704.86/542.07
  6. Step 6: Final answer
    x = 445.89

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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.