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Finding the Fourth Proportional to 554.61, 765.23 and 480.80

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Solution

The fourth proportional to 554.61, 765.23 and 480.80 is: 663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.61 : 765.23 = 480.80 : x
  2. Step 2: Convert to fraction form
    554.61/765.23 = 480.80/x
  3. Step 3: Cross multiply
    554.61x = 765.23 × 480.80
  4. Step 4: Simplify right side
    554.61x = 367,922.58
  5. Step 5: Solve for x
    x = 367,922.58/554.61
  6. Step 6: Final answer
    x = 663.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.