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Finding the Fourth Proportional to 554.47, 764.80 and 355.34

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Solution

The fourth proportional to 554.47, 764.80 and 355.34 is: 490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.47 : 764.80 = 355.34 : x
  2. Step 2: Convert to fraction form
    554.47/764.80 = 355.34/x
  3. Step 3: Cross multiply
    554.47x = 764.80 × 355.34
  4. Step 4: Simplify right side
    554.47x = 271,765.06
  5. Step 5: Solve for x
    x = 271,765.06/554.47
  6. Step 6: Final answer
    x = 490.14

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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.