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Finding the Fourth Proportional to 340.71, 511.12 and 242.97

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Solution

The fourth proportional to 340.71, 511.12 and 242.97 is: 364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.71 : 511.12 = 242.97 : x
  2. Step 2: Convert to fraction form
    340.71/511.12 = 242.97/x
  3. Step 3: Cross multiply
    340.71x = 511.12 × 242.97
  4. Step 4: Simplify right side
    340.71x = 124,184.88
  5. Step 5: Solve for x
    x = 124,184.88/340.71
  6. Step 6: Final answer
    x = 364.49

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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.