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Finding the Fourth Proportional to 461.43, 690.66 and 306.99

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Solution

The fourth proportional to 461.43, 690.66 and 306.99 is: 459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.43 : 690.66 = 306.99 : x
  2. Step 2: Convert to fraction form
    461.43/690.66 = 306.99/x
  3. Step 3: Cross multiply
    461.43x = 690.66 × 306.99
  4. Step 4: Simplify right side
    461.43x = 212,025.71
  5. Step 5: Solve for x
    x = 212,025.71/461.43
  6. Step 6: Final answer
    x = 459.50

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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.