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Finding the Fourth Proportional to 410.51, 614.78 and 227.45

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Solution

The fourth proportional to 410.51, 614.78 and 227.45 is: 340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.51 : 614.78 = 227.45 : x
  2. Step 2: Convert to fraction form
    410.51/614.78 = 227.45/x
  3. Step 3: Cross multiply
    410.51x = 614.78 × 227.45
  4. Step 4: Simplify right side
    410.51x = 139,830.17
  5. Step 5: Solve for x
    x = 139,830.17/410.51
  6. Step 6: Final answer
    x = 340.63

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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.