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Finding the Fourth Proportional to 288.10, 396.44 and 260.50

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Solution

The fourth proportional to 288.10, 396.44 and 260.50 is: 358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.10 : 396.44 = 260.50 : x
  2. Step 2: Convert to fraction form
    288.10/396.44 = 260.50/x
  3. Step 3: Cross multiply
    288.10x = 396.44 × 260.50
  4. Step 4: Simplify right side
    288.10x = 103,272.62
  5. Step 5: Solve for x
    x = 103,272.62/288.10
  6. Step 6: Final answer
    x = 358.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.