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Finding the Fourth Proportional to 306.86, 459.72 and 283.94

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Solution

The fourth proportional to 306.86, 459.72 and 283.94 is: 425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.86 : 459.72 = 283.94 : x
  2. Step 2: Convert to fraction form
    306.86/459.72 = 283.94/x
  3. Step 3: Cross multiply
    306.86x = 459.72 × 283.94
  4. Step 4: Simplify right side
    306.86x = 130,532.90
  5. Step 5: Solve for x
    x = 130,532.90/306.86
  6. Step 6: Final answer
    x = 425.38

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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.