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Finding the Fourth Proportional to 288.08, 429.46 and 265.04

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Solution

The fourth proportional to 288.08, 429.46 and 265.04 is: 395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.08 : 429.46 = 265.04 : x
  2. Step 2: Convert to fraction form
    288.08/429.46 = 265.04/x
  3. Step 3: Cross multiply
    288.08x = 429.46 × 265.04
  4. Step 4: Simplify right side
    288.08x = 113,824.08
  5. Step 5: Solve for x
    x = 113,824.08/288.08
  6. Step 6: Final answer
    x = 395.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.