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Finding the Fourth Proportional to 554.48, 765.16 and 305.80

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Solution

The fourth proportional to 554.48, 765.16 and 305.80 is: 421.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.48 : 765.16 = 305.80 : x
  2. Step 2: Convert to fraction form
    554.48/765.16 = 305.80/x
  3. Step 3: Cross multiply
    554.48x = 765.16 × 305.80
  4. Step 4: Simplify right side
    554.48x = 233,983.73
  5. Step 5: Solve for x
    x = 233,983.73/554.48
  6. Step 6: Final answer
    x = 421.99

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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.