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Finding the Fourth Proportional to 407.15, 561.62 and 251.63

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Solution

The fourth proportional to 407.15, 561.62 and 251.63 is: 347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.15 : 561.62 = 251.63 : x
  2. Step 2: Convert to fraction form
    407.15/561.62 = 251.63/x
  3. Step 3: Cross multiply
    407.15x = 561.62 × 251.63
  4. Step 4: Simplify right side
    407.15x = 141,316.37
  5. Step 5: Solve for x
    x = 141,316.37/407.15
  6. Step 6: Final answer
    x = 347.09

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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.