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Finding the Fourth Proportional to 540.93, 811.67 and 410.89

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Solution

The fourth proportional to 540.93, 811.67 and 410.89 is: 616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.93 : 811.67 = 410.89 : x
  2. Step 2: Convert to fraction form
    540.93/811.67 = 410.89/x
  3. Step 3: Cross multiply
    540.93x = 811.67 × 410.89
  4. Step 4: Simplify right side
    540.93x = 333,507.09
  5. Step 5: Solve for x
    x = 333,507.09/540.93
  6. Step 6: Final answer
    x = 616.54

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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.