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Finding the Fourth Proportional to 279.91, 384.23 and 258.04

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Solution

The fourth proportional to 279.91, 384.23 and 258.04 is: 354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.91 : 384.23 = 258.04 : x
  2. Step 2: Convert to fraction form
    279.91/384.23 = 258.04/x
  3. Step 3: Cross multiply
    279.91x = 384.23 × 258.04
  4. Step 4: Simplify right side
    279.91x = 99,146.71
  5. Step 5: Solve for x
    x = 99,146.71/279.91
  6. Step 6: Final answer
    x = 354.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.