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Finding the Fourth Proportional to 306, 424.61 and 293.82

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Solution

The fourth proportional to 306, 424.61 and 293.82 is: 407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 424.61 = 293.82 : x
  2. Step 2: Convert to fraction form
    306/424.61 = 293.82/x
  3. Step 3: Cross multiply
    306x = 424.61 × 293.82
  4. Step 4: Simplify right side
    306x = 124,757.44
  5. Step 5: Solve for x
    x = 124,757.44/306
  6. Step 6: Final answer
    x = 407.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.