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Finding the Fourth Proportional to 554.68, 764.93 and 423.46

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Solution

The fourth proportional to 554.68, 764.93 and 423.46 is: 583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.68 : 764.93 = 423.46 : x
  2. Step 2: Convert to fraction form
    554.68/764.93 = 423.46/x
  3. Step 3: Cross multiply
    554.68x = 764.93 × 423.46
  4. Step 4: Simplify right side
    554.68x = 323,917.26
  5. Step 5: Solve for x
    x = 323,917.26/554.68
  6. Step 6: Final answer
    x = 583.97

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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.