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Finding the Fourth Proportional to 423.16, 583.72 and 257.28

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Solution

The fourth proportional to 423.16, 583.72 and 257.28 is: 354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.16 : 583.72 = 257.28 : x
  2. Step 2: Convert to fraction form
    423.16/583.72 = 257.28/x
  3. Step 3: Cross multiply
    423.16x = 583.72 × 257.28
  4. Step 4: Simplify right side
    423.16x = 150,179.48
  5. Step 5: Solve for x
    x = 150,179.48/423.16
  6. Step 6: Final answer
    x = 354.90

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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.