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Finding the Fourth Proportional to 407.79, 610.16 and 271.01

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Solution

The fourth proportional to 407.79, 610.16 and 271.01 is: 405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.79 : 610.16 = 271.01 : x
  2. Step 2: Convert to fraction form
    407.79/610.16 = 271.01/x
  3. Step 3: Cross multiply
    407.79x = 610.16 × 271.01
  4. Step 4: Simplify right side
    407.79x = 165,355.06
  5. Step 5: Solve for x
    x = 165,355.06/407.79
  6. Step 6: Final answer
    x = 405.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.