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Finding the Fourth Proportional to 407.23, 610.74 and 260.82

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Solution

The fourth proportional to 407.23, 610.74 and 260.82 is: 391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.23 : 610.74 = 260.82 : x
  2. Step 2: Convert to fraction form
    407.23/610.74 = 260.82/x
  3. Step 3: Cross multiply
    407.23x = 610.74 × 260.82
  4. Step 4: Simplify right side
    407.23x = 159,293.21
  5. Step 5: Solve for x
    x = 159,293.21/407.23
  6. Step 6: Final answer
    x = 391.17

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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.