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Finding the Fourth Proportional to 295.82, 407.19 and 260.72

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Solution

The fourth proportional to 295.82, 407.19 and 260.72 is: 358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.82 : 407.19 = 260.72 : x
  2. Step 2: Convert to fraction form
    295.82/407.19 = 260.72/x
  3. Step 3: Cross multiply
    295.82x = 407.19 × 260.72
  4. Step 4: Simplify right side
    295.82x = 106,163.05
  5. Step 5: Solve for x
    x = 106,163.05/295.82
  6. Step 6: Final answer
    x = 358.88

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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.