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Finding the Fourth Proportional to 540.36, 808.87 and 436.78

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Solution

The fourth proportional to 540.36, 808.87 and 436.78 is: 653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.36 : 808.87 = 436.78 : x
  2. Step 2: Convert to fraction form
    540.36/808.87 = 436.78/x
  3. Step 3: Cross multiply
    540.36x = 808.87 × 436.78
  4. Step 4: Simplify right side
    540.36x = 353,296.05
  5. Step 5: Solve for x
    x = 353,296.05/540.36
  6. Step 6: Final answer
    x = 653.82

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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.