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Finding the Fourth Proportional to 279.32, 417.83 and 235.71

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Solution

The fourth proportional to 279.32, 417.83 and 235.71 is: 352.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.32 : 417.83 = 235.71 : x
  2. Step 2: Convert to fraction form
    279.32/417.83 = 235.71/x
  3. Step 3: Cross multiply
    279.32x = 417.83 × 235.71
  4. Step 4: Simplify right side
    279.32x = 98,485.53
  5. Step 5: Solve for x
    x = 98,485.53/279.32
  6. Step 6: Final answer
    x = 352.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.