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Finding the Fourth Proportional to 410.51, 614.68 and 338.69

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Solution

The fourth proportional to 410.51, 614.68 and 338.69 is: 507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.51 : 614.68 = 338.69 : x
  2. Step 2: Convert to fraction form
    410.51/614.68 = 338.69/x
  3. Step 3: Cross multiply
    410.51x = 614.68 × 338.69
  4. Step 4: Simplify right side
    410.51x = 208,185.97
  5. Step 5: Solve for x
    x = 208,185.97/410.51
  6. Step 6: Final answer
    x = 507.14

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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.