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Finding the Fourth Proportional to 407.25, 561.87 and 259.92

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Solution

The fourth proportional to 407.25, 561.87 and 259.92 is: 358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.25 : 561.87 = 259.92 : x
  2. Step 2: Convert to fraction form
    407.25/561.87 = 259.92/x
  3. Step 3: Cross multiply
    407.25x = 561.87 × 259.92
  4. Step 4: Simplify right side
    407.25x = 146,041.25
  5. Step 5: Solve for x
    x = 146,041.25/407.25
  6. Step 6: Final answer
    x = 358.60

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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.