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Finding the Fourth Proportional to 423.11, 583.55 and 257.32

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Solution

The fourth proportional to 423.11, 583.55 and 257.32 is: 354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.11 : 583.55 = 257.32 : x
  2. Step 2: Convert to fraction form
    423.11/583.55 = 257.32/x
  3. Step 3: Cross multiply
    423.11x = 583.55 × 257.32
  4. Step 4: Simplify right side
    423.11x = 150,160.94
  5. Step 5: Solve for x
    x = 150,160.94/423.11
  6. Step 6: Final answer
    x = 354.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.