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Finding the Fourth Proportional to 540.98, 807.56 and 468.33

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Solution

The fourth proportional to 540.98, 807.56 and 468.33 is: 699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.98 : 807.56 = 468.33 : x
  2. Step 2: Convert to fraction form
    540.98/807.56 = 468.33/x
  3. Step 3: Cross multiply
    540.98x = 807.56 × 468.33
  4. Step 4: Simplify right side
    540.98x = 378,202.23
  5. Step 5: Solve for x
    x = 378,202.23/540.98
  6. Step 6: Final answer
    x = 699.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.