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Finding the Fourth Proportional to 540.45, 811.77 and 476.89

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Solution

The fourth proportional to 540.45, 811.77 and 476.89 is: 716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.45 : 811.77 = 476.89 : x
  2. Step 2: Convert to fraction form
    540.45/811.77 = 476.89/x
  3. Step 3: Cross multiply
    540.45x = 811.77 × 476.89
  4. Step 4: Simplify right side
    540.45x = 387,119.74
  5. Step 5: Solve for x
    x = 387,119.74/540.45
  6. Step 6: Final answer
    x = 716.30

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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.