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Finding the Fourth Proportional to 288.15, 434.35 and 271.42

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Solution

The fourth proportional to 288.15, 434.35 and 271.42 is: 409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.15 : 434.35 = 271.42 : x
  2. Step 2: Convert to fraction form
    288.15/434.35 = 271.42/x
  3. Step 3: Cross multiply
    288.15x = 434.35 × 271.42
  4. Step 4: Simplify right side
    288.15x = 117,891.28
  5. Step 5: Solve for x
    x = 117,891.28/288.15
  6. Step 6: Final answer
    x = 409.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.