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Finding the Fourth Proportional to 459.95, 689.46 and 276.49

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Solution

The fourth proportional to 459.95, 689.46 and 276.49 is: 414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.95 : 689.46 = 276.49 : x
  2. Step 2: Convert to fraction form
    459.95/689.46 = 276.49/x
  3. Step 3: Cross multiply
    459.95x = 689.46 × 276.49
  4. Step 4: Simplify right side
    459.95x = 190,628.80
  5. Step 5: Solve for x
    x = 190,628.80/459.95
  6. Step 6: Final answer
    x = 414.46

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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.