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Finding the Fourth Proportional to 423.12, 583.76 and 257.44

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Solution

The fourth proportional to 423.12, 583.76 and 257.44 is: 355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.12 : 583.76 = 257.44 : x
  2. Step 2: Convert to fraction form
    423.12/583.76 = 257.44/x
  3. Step 3: Cross multiply
    423.12x = 583.76 × 257.44
  4. Step 4: Simplify right side
    423.12x = 150,283.17
  5. Step 5: Solve for x
    x = 150,283.17/423.12
  6. Step 6: Final answer
    x = 355.18

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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.