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Finding the Fourth Proportional to 607.28, 910.64 and 260.60

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Solution

The fourth proportional to 607.28, 910.64 and 260.60 is: 390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.28 : 910.64 = 260.60 : x
  2. Step 2: Convert to fraction form
    607.28/910.64 = 260.60/x
  3. Step 3: Cross multiply
    607.28x = 910.64 × 260.60
  4. Step 4: Simplify right side
    607.28x = 237,308.88
  5. Step 5: Solve for x
    x = 237,308.88/607.28
  6. Step 6: Final answer
    x = 390.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.