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Finding the Fourth Proportional to 407.02, 561.75 and 259.73

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Solution

The fourth proportional to 407.02, 561.75 and 259.73 is: 358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.02 : 561.75 = 259.73 : x
  2. Step 2: Convert to fraction form
    407.02/561.75 = 259.73/x
  3. Step 3: Cross multiply
    407.02x = 561.75 × 259.73
  4. Step 4: Simplify right side
    407.02x = 145,903.33
  5. Step 5: Solve for x
    x = 145,903.33/407.02
  6. Step 6: Final answer
    x = 358.47

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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.