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Finding the Fourth Proportional to 288.10, 404.15 and 288.10

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Solution

The fourth proportional to 288.10, 404.15 and 288.10 is: 404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.10 : 404.15 = 288.10 : x
  2. Step 2: Convert to fraction form
    288.10/404.15 = 288.10/x
  3. Step 3: Cross multiply
    288.10x = 404.15 × 288.10
  4. Step 4: Simplify right side
    288.10x = 116,435.62
  5. Step 5: Solve for x
    x = 116,435.62/288.10
  6. Step 6: Final answer
    x = 404.15

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.