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Finding the Fourth Proportional to 407.08, 561.81 and 259.66

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Solution

The fourth proportional to 407.08, 561.81 and 259.66 is: 358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.08 : 561.81 = 259.66 : x
  2. Step 2: Convert to fraction form
    407.08/561.81 = 259.66/x
  3. Step 3: Cross multiply
    407.08x = 561.81 × 259.66
  4. Step 4: Simplify right side
    407.08x = 145,879.58
  5. Step 5: Solve for x
    x = 145,879.58/407.08
  6. Step 6: Final answer
    x = 358.36

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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.