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Finding the Fourth Proportional to 554.32, 764.76 and 357.76

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Solution

The fourth proportional to 554.32, 764.76 and 357.76 is: 493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.32 : 764.76 = 357.76 : x
  2. Step 2: Convert to fraction form
    554.32/764.76 = 357.76/x
  3. Step 3: Cross multiply
    554.32x = 764.76 × 357.76
  4. Step 4: Simplify right side
    554.32x = 273,600.54
  5. Step 5: Solve for x
    x = 273,600.54/554.32
  6. Step 6: Final answer
    x = 493.58

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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.