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Finding the Fourth Proportional to 423.05, 583.80 and 257.23

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Solution

The fourth proportional to 423.05, 583.80 and 257.23 is: 354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.05 : 583.80 = 257.23 : x
  2. Step 2: Convert to fraction form
    423.05/583.80 = 257.23/x
  3. Step 3: Cross multiply
    423.05x = 583.80 × 257.23
  4. Step 4: Simplify right side
    423.05x = 150,172.57
  5. Step 5: Solve for x
    x = 150,172.57/423.05
  6. Step 6: Final answer
    x = 354.98

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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.