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Finding the Fourth Proportional to 554.38, 764.88 and 421.57

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Solution

The fourth proportional to 554.38, 764.88 and 421.57 is: 581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.38 : 764.88 = 421.57 : x
  2. Step 2: Convert to fraction form
    554.38/764.88 = 421.57/x
  3. Step 3: Cross multiply
    554.38x = 764.88 × 421.57
  4. Step 4: Simplify right side
    554.38x = 322,448.39
  5. Step 5: Solve for x
    x = 322,448.39/554.38
  6. Step 6: Final answer
    x = 581.64

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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.