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Finding the Fourth Proportional to 407.53, 610.75 and 343.81

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Solution

The fourth proportional to 407.53, 610.75 and 343.81 is: 515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.53 : 610.75 = 343.81 : x
  2. Step 2: Convert to fraction form
    407.53/610.75 = 343.81/x
  3. Step 3: Cross multiply
    407.53x = 610.75 × 343.81
  4. Step 4: Simplify right side
    407.53x = 209,981.96
  5. Step 5: Solve for x
    x = 209,981.96/407.53
  6. Step 6: Final answer
    x = 515.26

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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.