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Finding the Fourth Proportional to 407.67, 562.44 and 260.25

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Solution

The fourth proportional to 407.67, 562.44 and 260.25 is: 359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.67 : 562.44 = 260.25 : x
  2. Step 2: Convert to fraction form
    407.67/562.44 = 260.25/x
  3. Step 3: Cross multiply
    407.67x = 562.44 × 260.25
  4. Step 4: Simplify right side
    407.67x = 146,375.01
  5. Step 5: Solve for x
    x = 146,375.01/407.67
  6. Step 6: Final answer
    x = 359.05

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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.