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Finding the Fourth Proportional to 554.08, 764.63 and 305.42

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Solution

The fourth proportional to 554.08, 764.63 and 305.42 is: 421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.08 : 764.63 = 305.42 : x
  2. Step 2: Convert to fraction form
    554.08/764.63 = 305.42/x
  3. Step 3: Cross multiply
    554.08x = 764.63 × 305.42
  4. Step 4: Simplify right side
    554.08x = 233,529.47
  5. Step 5: Solve for x
    x = 233,529.47/554.08
  6. Step 6: Final answer
    x = 421.48

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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.