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Finding the Fourth Proportional to 542.35, 811.09 and 528.99

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Solution

The fourth proportional to 542.35, 811.09 and 528.99 is: 791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.35 : 811.09 = 528.99 : x
  2. Step 2: Convert to fraction form
    542.35/811.09 = 528.99/x
  3. Step 3: Cross multiply
    542.35x = 811.09 × 528.99
  4. Step 4: Simplify right side
    542.35x = 429,058.50
  5. Step 5: Solve for x
    x = 429,058.50/542.35
  6. Step 6: Final answer
    x = 791.11

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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.