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Finding the Fourth Proportional to 459.86, 688.72 and 276.85

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Solution

The fourth proportional to 459.86, 688.72 and 276.85 is: 414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.86 : 688.72 = 276.85 : x
  2. Step 2: Convert to fraction form
    459.86/688.72 = 276.85/x
  3. Step 3: Cross multiply
    459.86x = 688.72 × 276.85
  4. Step 4: Simplify right side
    459.86x = 190,668.95
  5. Step 5: Solve for x
    x = 190,668.95/459.86
  6. Step 6: Final answer
    x = 414.63

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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.