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Finding the Fourth Proportional to 407.25, 562.09 and 259.85

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Solution

The fourth proportional to 407.25, 562.09 and 259.85 is: 358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.25 : 562.09 = 259.85 : x
  2. Step 2: Convert to fraction form
    407.25/562.09 = 259.85/x
  3. Step 3: Cross multiply
    407.25x = 562.09 × 259.85
  4. Step 4: Simplify right side
    407.25x = 146,059.09
  5. Step 5: Solve for x
    x = 146,059.09/407.25
  6. Step 6: Final answer
    x = 358.65

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